Can you solve this equation?

[@MathQueenSusanne]

Hey math friends! If you’re enjoying this video, could you double-check that you’ve liked it and subscribed to the channel? It’s a simple equation: your support + my passion = more great content! Thanks for helping me keep this going - you’re the best!

[@draganzakic2378]

Ohhh, you speak English!🤗

[@welingkartr416]

I was curious. So, if we rearrange thi equation, we get 5 =x/x And if we substitute the solution- the value of x = 0, it should be satisfied. Right? What do they call equations whose variable values satisfy them and also do not satisfy them?

[@welingkartr416]

@@Dreosaurus Thanks, I understand. But that was my point since x=0 is the solution, why does it not hold when the equation is re-written in the other form?

[@MidwesternIndependent]

5?

[@JosephGelis]

I am 67 and always had a keen interest in math in the sense that math is a numerical form of measurement of the physical world in which we live. Although, I love math I was never really all that good at it. Well, in high school I got by. Perhaps I am just very rusty at it now after all of these years. And that is where you and your wonderful channel comes in. Thank you, Math Queen, for helping me in my journey of kicking the mathematical rust off.

[@stefanorossetti6057]

x=5x then draw the the two lines (y=x) and (y=5x). They meet only in point (0,0). So x=0

[@Coolmoed]

Kind of an odd way

[@stevenhopkins2925]

This way makes much more sense than picking up a 1 seemingly out of thin air.

[@Chrisratata]

​@@Coolmoed graphical solutions help sometimes because one can literally visualize just how verified the solution is... It's just another tool that some people prefer.

[@Coolmoed]

@ if needed pictures can be great Not when it makes more work tho

[@Chrisratata]

@@Coolmoed more work is absolutely welcome if it helps something stick for someone. It's not always about getting the answer just to say you did. Some students actually care about gaining a deeper understanding of the overall, which includes reconciling across multiple methods sometimes.

[@ehrenwerterpelikan9156]

Susanne, your solution is mathematically convincing. However, the fact that only zero fits is actually evident at first glance because one-fifth of x can never be x, except when x is zero.

[@ltcolthorin8661]

While it is evident (provided your numeracy skill is sufficient to deduce that) you haven't solved the equation. To solve the equation you need to do what she did, which is get x on its own on one side and a value on the other. Knowing the answer != solving the problem.

[@james64ibm]

That's not the point of this channel. It's not about mathematical rocket science, but rather about making it accessible to an average high school student.

It's more than convincing. Your approach could be to factor out x. x•1 = x•(1/5). That is x(1=1/5), (making "sense" only for x=0) or more systematically -- like in the video; x(1-(1/5)) = 0, x(4/5) = 0, x = (5•0)/4 = 0. It's important to work up a number sense like you have done. But it's also vital to learn to be formal. Then one can communicate knowledge better and also interpret knowledge better.

[@WideCuriosity]

Doesn't ∞ work ?

@@WideCuriosity Infinity works. But infinity is not a number.

[@adamlea6339]

This is demonstrating the classic pitfall of dividing by an unknown value where that value could be zero. Mathematical fallacies where starting with an equation and going through a list of apparently logical steps results in something like 2=1 often involves dividing by zero at one step.

[@HNH421]

dividing by zero WILL NOT MAKE TIME/SPACE STOP - THAT IS A LIE MATH NERDS TELL PEOPLE SO THEY WILL BE AFRAID TO DO MATH

[@raycapetillo5569]

At first i thought, you are looking for the answer 0.. But the value of your video is the HOW we get there. Well done.

[@pofdsjoijsodfjsoidf]

You needed 4 minutes of explanation to understand how to solve 4/5 x = 0?

[@gadfly8648]

trial solutionis:: sometimes very good

[@RainerHohn1510]

Chuck Norris divides by zero.

[@tgolf4fun]

🤣

[@drunkenstyle7899]

Is chuck norris a solution in R?

[@markparris3890]

I got the Chuck Norris add-in for Excel. Instead of #DIV/0! I got #WHENIWANTYOUROPINIONILLBEATITOUTOFYOU!

[@SvenOppenhaeuser]

Whe know that event as the "big bang"

[@tgolf4fun]

@@drunkenstyle7899 can’t be, Chuck Norris is even a statistical anomaly 😏

[@Z-eng0]

As a communications and electronics engineer grad and math enthusiast for years, I can wholeheartedly say that this channel was sth I absolutely NEEDED to see. It helped me remember after such a long time what the applying the basics actually looked like, using the most basic of steps instead of just the advanced type I'm already used to reminded me of the insights doing more basic steps gets me. I thank you from the bottom of my heart for once again reminding me of the beauty of even the simplest and most basic parts of maths.

[@michaelmenkesOZSKIB]

x=0. took 0.5 seconds

[@TheRealScooterGuy]

Did you time it? lol

[@LarryMartin-c4h]

.2

[@Chrisratata]

This isn't for you.

[@EastWindCommunity1973]

I got infinity. Took me one tenth of a second.

[@cobepunk]

@@EastWindCommunity1973 you got it wrong

[@murilovsilva]

This may all seem very dumb, but it goes to demonstrate that blindly applying rules and techniques won't necessarily solve every math problem. And yet this is what kids learn at school: blindly throwing out memorized rules instead of pausing for a moment and actually thinking.

[@kingbeauregard]

Disagree; the solution is to use a BETTER set of memorized rules and apply them blindly. The better rule, in this case, is to put everything on one side and factor, and not cancel variables out.

[@murilovsilva]

@kingbeauregard I'm not sure if you're being ironic, or if you're just as dumb as a mule.

[@isKatKat]

This was actually a nice little exercise when you haven’t been doing “school maths” for years. Nice brush-up!

[@MathQueenSusanne]

Awesome, that you tried it again after so many years!

[@a.e.jabbour5003]

And there's not only those who haven't done it in a while. There are also those of us who weren't very good at it to begin with! HAHA! :)

[@miguelbermudez5426]

As an engineer I knew it was zero but did the work to see why. But I agree...Kids in the USA are behind in math for many reasons and memorization is one of them

[@finlandtaipan4454]

Wonderful. I saw x=0 immediately but I was wondering if there could be another solution in complex numbers. You showed convincingly that 0 is the only solution.

[@paulbowler2760]

No! x=infinity also is a solution!!

[@evergreentree8042]

There can only be one solution because the equation is linear. You can easily identify a linear equation when the power of x is 1.

[@evergreentree8042]

​@@paulbowler2760 It is not. The equation is linear (a straight line). If you were to graph it, it would hit the x-axis once and exactly once.

[@Llortnerof]

@@paulbowler2760 No, it isn't. Infinity is not a number and thus not a valid solution for this equation.

[@clam4597]

@@paulbowler2760 I think so too.

[@Grandliseur]

Simple, but enjoyable. I liked the point about dividing by zero warning.

[@azcharlie2009]

Wish I'd had a math teacher like her. I'd have paid a lot more attention.

[@jimslancio]

You can prove absurdities by dividing by zero.

[@santanulahiri719]

True, but in this case it is zero divided by a non-zero number.

[@feraudyh]

X= X/5 therefore (subtracting X/5 from both sides) 4X/5 = 0 therefore (multiplying both sides by 5) 4X = 0 therefore (dividing both sides by 4) X=0 QED

[@petematthews9346]

Love the contrasting solution attempts. It's always good to remind oneself that when you divide by the variable x, you need to exclude the x=0 solution. But that doesn't mean you don't check to see if x=0 is a solution, which in this case would immediately show that it's a solution. That said, as a retired math teacher, I really appreciate that you point out that both x and x/5 are linear functions, so to collect the like terms on one side. Voilá! Thanks!

[@alitna]

I actually paused the video trying to figure out the right answer, but couldn’t find it. I think I was so stuck in the thought of not understanding an equation could be “impossible”. Thanks Math queen for learning me this!:)

[@Quintessential-l2i]

I just got an expression 5x=x and was like "0 is the only number that can be multiplied by a constant and remain itself, therefore the answer is 0" but then I understood that its not a "solution" technically and I "guessed" the answer. Was actually curious how to *solve* solve it. Been years since I subtracted from equations lol

[@MathQueenSusanne]

Awesome, that you’ve been so curious, although you found the answer by yourself already!

[@Maxime-fo8iv]

"Been years since I subtracted from equations lol" I see what you did there ^^

[@chinareds54]

I did the same mental logic, except I applied it to x=(1/5)x so I didn't have to multiply both sides by 5 first :p

[@kevinb8881]

The answer is 0.

[@shadowstar68]

I've just come across your channel in the last few days, I'm 56 now and it's nice to pause your video at the start and then try and work your sums out. Also to look at how you solve them. Thanks for demonstrating what happens if you try and cancel out x when you don't know what it is. For my part I'd figured if you solve for x then the last thing you want to do is cancel x out of the equation. and once you remember that 0 divided by anything = 0 the equation becomes very easy to solve.

[@randyduncan795]

"We're never gonna use this stuff!" If you think this know that I use math and algebra regularly for finance and in my job, mostly involving electrical/electronic calculations. Basic algebra makes it easy to calculate your range in a car, boat, or aircraft. I used trig and algebra to figure out how many boards to buy and at what angles and lengths to cut the rafters for a shed I built. It cost maybe 20% for me to build it rather than pay others to do it for me. It also feels great to build things. Every cool thing we have is built on math.

[@HNH421]

THAT IS JUST A RELITAVE PERSPECTIVE - ITS JUST AS LIKELY - THAT MATH IS BUILT ON COOL STUFF _JUST SAYING

[@eekee6034]

@HNH421 I've been interested in math all my life, and trust me, math is built on the weirdest stuff imaginable! It's a good thing I think weird stuff is cool. :)

[@HNH421]

@@eekee6034 i hate maths - its the way they flutter around light bulbs, i also hate being quonicly bislexic : (

[@randyduncan795]

@HNH421 Some investigation might be required. You might find that math was originally deemed to be philosophy.

[@HNH421]

@@randyduncan795 I am of the opinion, that most philosophy is Sophistry, referring to its use, of fallacious arguments, misleading language, and rhetorical tricks to deceive or manipulate others. but I do not believe in other people, because I am a solipsist, a philosophical idea that suggests one’s own mind is the only true reality, and that all other people and external objects are mere creations or projections of my own mind. So the question remains why am I replying to my Self in this comment section ? The answer is because I am a somnambulist that is asleep.

[@BKNeifert]

That made me happy. I was like, "Does not compute" but once I realized it was 0 all was well in the world again.

[@joejoe-lb6bw]

Excellent. Straight forward diving into the solution and elucidating an important concept. Unlike some other channels that I guess are aiming for long videos to satisfy the KZbin algorithm?

[@elminero49]

Wow! The Math Queen is a knockout. I've never seen math look this beautiful before.

[@RoniAlush]

So, for me, the way to enjoy math is to combine it with other things passionate about.

[@mr.mystery9876]

It’s nice watching you solve the problem! I really like your voice!

[@MathQueenSusanne]

Thank you so much for your kind words and welcome to my channel!

[@fredeisele1895]

The division by x route is actually very fast. Any time you divide (or multiply by the inverse) you must check that an inverse exists. In other words, you check to see if x = 0 is a valid solution. It is valid so no further algebra is needed.

[@jessiegutierrez5583]

I wouldn’t be able to learn math with this cutie teaching

[@davidearea242]

Same here-I gave up and enjoyed the view. Brains and beauty all wrapped into one.

[@thenetsurferboy]

You would if you went to school

[@jessiegutierrez5583]

@ No joking around allowed here… got it

[@dariushmilani6760]

That was an elegant solution. Liked and Subscribed.

[@MathQueenSusanne]

Thank you so much for your kind words and for subscribing! That makes me happy!

[@jstnxprsn]

I'm 70 and I still saw that solution immediately.

[@Douglas_Blake]

I still remember my math teacher in about 4th grade telling me that the only value that can be both itself and itself divided by something is 0 (zero)

[@bobblum5973]

65 here, and I saw it right away as well.

[@MathQueenSusanne]

It’s awesome, that you all keep on training your brain and that we have people of all ages here on my channel!

[@ndeleonn]

What does age have to do with "seeing' the solution?

[@Douglas_Blake]

@@ndeleonn I'm 73. When I was in grade school math and english were taught very intensely. We understood that we needed those skills to get along in life. Today... I meet people who can't solve 13 x 7 without a calculator, don't know how many minutes in a quarter hour, and can't even work out simple sentences. Education is NOT what it used to be.

[@jamesharmon7733]

DUH!!!! That took me waaaay too long to figure out. Well done.

[@audreydaleski1067]

You truly draw this out

[@phillipmcduffie9353]

I like the limit as x goes to infinity. So, x get bigger, and bigger, and bigger. But never getting really any closer to infinity. But it still grows ( instantaneously ) if we take smaller, and smaller, and smaller steps in time. Of course this must only be a thought experiment. Why should we only let Einstein experiment in his mind ? Well, there really were many other people doing thought experiments. Before they put their ideas on paper ( with some form of writing instrument ). I started this comment before seeing the video through the realistic solution. Of course, ... anything divided into zero is zero, ( except zero, which is not allowed. ) This professor is correct ! There, I admit it. All we have to do is go back to the beginning of our Algebra I class. Put the equation into standard form. Zero on the right hand side. Then divide it by 4. Again, though, one can easily solve this by inspection. ( X / 5 ) = 0 only when X = 0 QED, as my Algebra teacher would say. But, he wouldn't have allowed inspection. You know, steps and all.

[@b213videoz]

5x = x 5x - x = 0 4x = 0 x = 0 😊 Another approach: 5x - x = 0 x(5-1) = 0 from here it's either x=0 or 4=0, as 4 most certainly can't be 0 so it must be that x=0

[@SmallSpoonBrigade]

Yep, those are also good ways to go about it.

[@SportsTruthwithJordanHarris]

​@@SmallSpoonBrigadethank you! I'm sitting here going crazy trying to understand what she's writing on the right side of the page. Looks like 1.5 on the top-right and 1-x on the middle-right. 🤔 Not sure what she's showing there. Your way makes sense in my brain. I'm not crazy after all! Thanks!

[@dgkimpton]

Thank you! I've been falling in that pit for 30+ years and never knew *why* it happened. Now I do, that's going to make everything easier. Brilliantly explained.

[@1234567qwerification]

A simpler way: draw graphs y = x y = x/5

[@toddweaver1390]

I can’t believe I’d never been taught this trick before. It’s so obvious once you hear it that graphing both sides would produce all the solutions wherever the graphs intersect Thank you!

[@MathQueenSusanne]

Yeah, that’s also a nice way! Thanks for sharing!

[@bobbell1922]

If you go the division route, as soon as you get 5=1 that should tip you off that you divided by zero somewhere. (All those gag mathematical "proofs" showing 1=2 depend on dividing by zero.) And since the only thing you divided by was x, then x must be 0. Then you can go back and do it right.

[@SmallSpoonBrigade]

Yes, or it's a broken problem, but either way it's worth taking a bit to consider what's going on because that's not an acceptable result. In general when you have a step where all the variables disappear, you have to take a step back and consider what's happening. Often it's a mistake, sometimes it's the result of there just not being a solution, for example, looking for where Y=5x crosses Y = 5x +1. They're parallel, and won't cross without freaky curved surfaces. Or, if we're in 3, or more, dimensions, they could be skewed.

[@phaenius]

This must be the prettiest math teacher.

[@markramsay6399]

Nice video, 😊. May I ask what whiteboard software you are using? Really effective for this type of presentation.

[@FretBuzz_2009]

Let's take a moment and remember or recognize this woman has one of the most wonderfull singing voices in the universe!😊

[@xCwieCHRISx]

You can devide by x. But if you do you have to check if x=0 is a solution first, because you aren't allowed to divide by 0.

[@ArandelaGriffe]

The greatness of dividing by 0 : If you divide by a Zero, you create an absurd answer. Great choice of video ^^ -Early secondary school : x = x/5, x - x/5 = 0, x.(1-1/5) = 0 as (1-1/5)>0 then x = 0 -Middle secondary school : where f(x) = x crossing with f(x) = x/5 ? Only when x = 0

[@AcademiaCS1]

I enojoyed your performance, more than the solution, because it was obvious, X have to be ZERO. You did it nicely.

[@rientsdijkstra4266]

x may also be infinity. (notice that it was not said that x needs to be a number!)

[@mekbebtamrat817]

I think there are three solutions: +infinity, - infinity, zero

[@FleaRHCP97]

this is the correct answer

[@SmallSpoonBrigade]

Infinity usually doesn't count here because it's a concept and not a number. There may be situations where that's an acceptable answer to this, but we're normally not looking for trivial answers and infinity when we're solving things like this.

[@steveoshaughnessy3736]

Wow! Excellent video and explaination. I only clicked on the link because I was sure there was no solution. I have clicked Like and subscribed.

[@FloorBoontjes-wo1hv]

There are actually two solutions: x = 0 and x = infinity, because 5.0 = 0 and 5.infinity = infinity. So both for 0 and infinity the statement 5x = x is a true statement

[@DJF1947]

Some Queen, eh? Should have said 'aleph-null' is also a solution, and really baffled her!

[@Cruz8R]

Infinity is not a number but a concept. So infinity is not a solution.

[@DJF1947]

@@Cruz8R Rubbish. The mathematics of transfinite numbers is an entire field of study in its own right. The first infinity is called aleph-null, N(0), (it is actually.a Hebrew letter and (0) is a subscript but KZbin text cannot handle either). Here are some baby-steps for you: N(0) plus any finite number equals N(0) N(0) times any finite number equals N(0) Now go and find out how aleph-1 is produced (perhaps you should have researched that first before commenting on a topic that you do not understand).

[@FloorBoontjes-wo1hv]

@@Cruz8R That is debatable. The question is to solve the equation, not to solve the equation by inserting a number. And Infinity is a sign, like 1,2, X or Y than can appear in equation. Such as 1/0 = (infinity). So that makes infinity a valid answer to the question.

[@FloorBoontjes-wo1hv]

@@DJF1947 Or any aleph number for that matter...

[@dgkimpton]

Thanks

[@MathQueenSusanne]

Wow, thank you soooo much for your generosity! All the best to you! Do you need math at the moment for some kind of exam?

[@dgkimpton]

@MathQueenSusanne no, but it crops up from time to time in various projects. Just knowing this little fact is sure to reduce my frustration when it does. Thank you for your efforts and enthusiasm.

[@MathQueenSusanne]

That’s awesome, that I could reassure you. Then enjoy your upcoming projects!

[@robert-yv2yj]

Haven't done this in awhile. Thanks for the explanation.

[@NotSure416]

The trivial solution is finally the real solution.

[@vencik_krpo]

Yes. x = x/5 , _let us assume_ that x != 0 and divide both sides by x (otherwise we couldn't). That gives us: 1 = 1/5 But that's false, marking a contradiction with _some_ of our assumptions. We've made only one: that x != 0. Therefore, x = 0, QED.

[@rclrd1]

Proof by "reductio ad absurdum". 👍

[@vencik_krpo]

@ Time to time, it’s worth to remind oneself of the utter trivia of how mathematical logic works… ;-)

[@pon1]

I first thought that it would have no solution since I didn't think of the case where x is zero. Very informative video.

[@pjplaysdoom]

At first I thought 'How does she spin out this easy equation for a 4 minute video?' but when I actually watched it, your approach of showing the wrong way to tackle it makes sense educationally. Division by zero errors are very important to avoid!

[@johncirillo9544]

Cross multiply which leaves 5x = x. Set the equation equal to zero by subtracting x from both sides leaving 4x = 0. Divide both sides by 4 and the result is x = 0. First semester algebra. 😉

[@Yevgeniy_Pozhidaev]

*_Каноническое решение, супер корректное. Претензий не может быть. Super correct._*

[@rindholt]

Dividing by x is in many cases the only to procede so you must know how to do this properly, i.e treating the case x=0 seperately. It’s really a special of the very useful zero product rule

[@AB-jk4hz]

Beautiful teacher!

[@user-od9iz9cv1w]

I got it immediately. 0 was the only thing it could be.

[@rientsdijkstra4266]

Infinity is also a correct answer. (insert infinity for x, you get infinity = infinity / 5 which is TRUE!)

[@gio87vr]

Another way is with geometry, x=x/5 means finding all the x-es where the two curves have the same y, y=x and y=x*1/5, so the only x where they have the same y is x=0.

[@danielchallenger979]

The key to understanding this is knowing the difference between undefined and indeterminate

[@romanosaraviadis]

Dividing by X (different than zero though), then and only then do you get to 5=1, which is impossible. Then X equals to the only value that we excluded in the earlier reasoning. So the equation is true only if X=0

[@DrRChandra]

y'know...I didn't really think of how to do it algebraically. I was thinking to myself, how can you perform any operation on a number, and get the same number back? At first, I thought, this is an unsolvable equation, until...wait a minute, zero divided by anything is still zero. Plug in zero, yep! it works! So I just used the guessing method, which is not so reliable, but it worked this time.

[@jacobcombs1106]

X=x/5 subtract x from both sides 0=x/5-x distributive property 0=x(1/5-1) Solve the parenthesis 0=x(-4/5) Multiply both sides by 5 and divide both sides by -4 0=x Solved.

[@johnjameson6751]

Don't forget to check the answer! Suppose x is a solution. If x is not zero, we can divide by x to obtain 1=1/5, a contradiction. We deduce: if x is a solution then x=0. Now substitute x=0 back into the equation to show x=0 actually is a solution.

[@prakashchandrajoshi2164]

I learned why we can’t divide by an unknown during solving equations, thank you

[@BN-hy1nd]

If 5x = x, then y=5x and y=x are true expressions. From the expressions, a graph of y=5x has a gradient of 5 and passes through the point 0,0. Similarly, a graph of y = x, has a gradient of 1 and passes through the point 0,0 Where both graphs meet, gives us the value of x, i.e. zero

[@joseph_donovan]

Zero to the left of me, zero to right, here I am stuck in the middle with nowt, nought, nada. Bah, I need a hug, or a one, anything but a zero! Lovely video to help me make nothing out of nowt and vice versa. My edentate granny would have been proud of me. I think...

[@kbuddy1451]

I could tell immediately from looking at the equation the solution was 0, but was not sure of how to do it algebraically.

[@dorlangur]

A bit middle school math in the morning. Nice😊

[@juliobarbosa7677]

How would we demonstrate that the answer could be "infinite"? "Infinite" is a possible solution, right or no?

[@Satishstar143]

Incredible maths

[@StephenWong14]

Dividing both sides by x would be fine as long as you stipulate different cases. You have case 1 (x=0) and case 2 (x not 0). Case 1 substitute x=0 and the equation is correct therefore x=0 is a solution. Case 2 you can divide both sides by x, and it proves that there's no solution where x is not zero (works like proof by contradiction).

[@homosapien6031]

I just looked at that and automatically got that x had to equal 0 through intuition. But it was interesting to see that we always just assume x != 0 when dividing! Never noticed that but it makes complete sense.

[@TonyCello]

I love a maths equation! I've subscribed!

[@MathQueenSusanne]

Awesome, thank you so much! I hope you enjoy my other videos as well.

[@jaewok5G]

i had a prof who would describe these types of 'solutions'' with phrasing like "5 equals 1 for small values of 5 … or large values of 1" to get us to check that our answer matches the question.

[@javaman7199]

Sounds like the math behind Intel's first Pentium processor.

[@jaewok5G]

​@@javaman7199 _It's all about the Pentiums, Baby_ 😆you've outed yourself, mr. greybeard ¬ time to upgrade too a DX and hit that 'turbo switch'

[@TheGbelcher]

Went straight to the comments section to see how everyone got to zero. I knew it intuitively just by looking at the equation. Love the linear algebra proofs. Would’ve taken me awhile to get to that. If ever!

[@skipdalu5805]

I can still do this in my head! x=0, x=infinity

[@Z_MIB]

I got the answer right away

[@jadedmastermind]

Can you integrate 1/x by parts?

[@motthebug]

I'd have like to seen the generalization that dividing b y the variable is a bad idea not just "if you don't know what you're doing," but rather especially if you might be dividing by zero because yes, that's when you get "solutions" like 1 = 5.

[@BluesChoker01]

x = x/5 , 5x = x 5x -- x = 0 x(5 --1) = 0 4x = 0 x = 0

[@jamtheripper8230]

Zero. Only possible solution. Solved in mind.

[@Wolfie6020]

I saw zero as the only solution but I like the way you resolved it.

[@jonathanhirschbaum6754]

infinity, or rather infinite amount of infinities (there are really many) are also solutions. This is absurd, not equation

[@NowhereMan5691]

if you divide by zero you create singularity and there 1=5 bcs 1*infinite = 5*infinite

[@MikeFisher-123]

All very neat and well explained. Though to me the real lesson of this is that it is an example of trying to solve a stupid equation, and people often do this when they don't think what it means. How can something be the same as one fifth of its value? So solving it is interesting, but realising what the equation means is perhaps more important!

[@zteamvideo2561]

It's solved right off the bat.... Only a Susan would convolute that...

[@Quakeboy02]

But it's clear from the beginning that x == 0. x is on both sides of the equation and there are no additions or subtractions, AND x is on top of the fraction. x == 0 where x is alone on one side, and x has only a multiplier or a divisor on the other. If the equation were x = x divided by the square root of -1 it would still be 0.

[@KenanCakr]

If 0/0 = U and U = 0 for (- and +) and U = 1 for (/ and *) would it be correct? Since quantum is the meta.. :)

[@sornord]

Multiply both sides by 5 to obtain 5X = X. X = 0

[@seanmchugh2709]

Without watching: x = x/5 Therefore 5x = x Subtracting x from both sides, 4x = 0 x = 0/4 x=0 Though it's pretty obvious, maybe I needed to prove that 0/4 = 0.

[@tvs3497]

As with life itself, the journey to reaching the goal is where the beauty lies.

[@MT-dd9iu]

There are two solutions to this problem. Whenever zero is the answer, go back and see if infinity is also a solution to the problem. Infinity = Infinity / 5 is true. Therefore, the solution set to this problem is {0, Infinity}.

[@MT-dd9iu]

@vangmountain by that logic Pi and e would also just be concepts. In calculus, infinity is used all the time to solve problems. That's why you have to memorize the entire list of rules when dealing with infinity, the first week of calculus.

[@MT-dd9iu]

@vangmountain show me a proof for the area of a circle that doesn't use infinity, and I'll believe you. I'll wait....

[@lesbrunswick5137]

That is what I intuitively thought when I saw the equation, and I wondered why she didn't include it. I guess it's because this channel is for people who have studied only algebra, and infinity is a more advanced topic.

[@sumitkumarpal12]

x=x/5 So, 5x=x So, 5x-x=0 So, 4x=0 So, x=0/4 Therefore, x=0

[@markcabie]

La misma lógica indica que es ZERO, excelente explicación, gracias.

[@miketype1each]

According to my sister, her 5 cookies always equalled my 1 cookie, like, every time.

[@BuleriaChk]

5x = x iff 5x-x=4x iff 4x = 0 The quadratic equation Ax^2 + Bx + c = 0 has no solution for x = 0. A.B.C real natural numbers except c = x = 0. 5x - x = 0 iff x 5 = 1 0r x = 0 A = 0 B = 5x-x = 4x The quadratic equation becomes 4x + c = 0 4x = -c There are no negative numbers: -c = a - 4x. 4x > a iff 4x-c = a (Imaginary numbers are complex only for those who think they are somehow real; SU(2) is much ado about nothing. (Note that if there are no negative numbers, thre are no square roots of negative numbers (i.e., imaginary numbers) Bottom Line Pythagoras was wrong, Fermat was correct even for n = 2 Proof of Fermat's Last Theorem c^n a^n + b^n for n > 1 (and therefore for n > 2. c:= a + b (addition, "existence" group under addition c^n = (a+b)^n = [a^n + b^n] + f(a,b,n) (Binomial Expansion) c^n = [a^n + b^n] iff f(a,b,n) = 0 f(a,b,n) 0 c^n [a^n + b^n] QED This result has profound consequences for the Standard Model of Theoretical Physics, not to mention Foundation of Mathematics, but I don't have the spacetime to write it here. I publish on the physicsdiscussionforum dot org for those interested.

[@jusCash]

You can solve it without creating a linear equation. The equation is X = x divided by 5. So no matter what and number besides 0 will not be equal if one side is being divided by 5

[@kingbeauregard]

To get all the solutions, always factor, don't cancel things out. It's a reliable rule of thumb.

[@BostonTerrierDad623]

I love math, I’m 52, algebra is my favorite by far, so this is fun fun fun!! I, however, haven’t ever heard my gears actually grind. Not even in college. Haha. I’m getting old. 🎉😂

[@maths01n]

Good work my fellow Mathematician ❤ watch it

[@stephenpowell3334]

Is it true that every situation like this x always equals 0…..x=x/4……x=x/99…..etc.?

[@stephenpowell3334]

And in that case the real answer is infinity?

[@stanislavzybanov5988]

5 = 1 . Amazing example why we can’t divide by 0 👌