Solving Rational Equations [fbt] (Equations Involving Rational Expressions)

[@aldjeus]

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[@FortBendTutoring]

+Aldjeus Valenzuela Happy 2 help Aldjeus! Thanks 4 your patronage and feedback!

[@kellygoodman6167]

Aldjeus Valenzuela omg me too

[@seikantunnel]

same too! (my math class is boring and fort bend tutoring is fun and is the best tutoring service on youtube i have ever seen!

[@stephanieperez4929]

Same here

[@brendamonge8262]

So grateful I found these videos. Every time I'm stuck on homework I search FBT to hep me, and I'm never disappointed.

[@FortBendTutoring]

Thanks 4 the wonderful feedback Brenda! Happy 2 help!

[@Sophie41800]

You are a life saver! I've been looking for a good Math teacher for so long. Ugh, thank you for this

[@FortBendTutoring]

+Sophie41800 My pleasure Sophie! Thanks 4 watching!

[@illdrno2343]

That intro go hard, is their a full song?

[@cheynal-seymonereid5410]

You explain how equations work thoroughly and I love that. Your my favorite person to watch on how to understand different math lessons. I look forward to your future videos. Oh, by the way, I love it when you say "It's time to get my arrows POPPIN'!". Have you discovered why the distributive property is you favorite yet? :)

[@FortBendTutoring]

+Cheynal-Seymone Reid Thanks 4 the feedback Cheynal-Semone! It's got 2 be because I like drawing the arrows! lol

[@cheynal-seymonereid5410]

Lol well they look gorgeous, esspecially when they're in red. Very Picasso.

[@FortBendTutoring]

+Cheynal-Seymone Reid Thanks :-)

[@sarahbinkley5301]

same! i love that little saying!! very well taught by far my favorite tutor

[@michaeladial6681]

Hey Fort Bend, thank you so much for this video! It's very straight forward and relaxed. I love your attitude and the way you calmly and cheerfully approach math. Teaches me a few things about how to feel about math, since usually I hate it :P.

[@joaquinmercado2731]

Thank you so much! It's 3:47am here in the Philippines and you're making studying for my midterms a 100x easier ✌

[@FortBendTutoring]

+Joaquin Mercado Happy 2 help Joaquin! Good luck on your midterms and thanks 4 watching!

[@shannonchin-smith703]

this account is the reason I'm passing math

[@FortBendTutoring]

Happy 2 help Shannon! Thanks 4 the feedback! :-)

[@jemuelmongado5030]

+Shannon Chin-Smith same. thanks fbt

[@krakenmangaming]

Finally! I understand this lessons! Thank you very much FBT! Very big fan of your videos!

[@FortBendTutoring]

+Carl Oñate We appreciate the support Carl! Thanks 4 watching!

[@catlady715]

Thank you Mr. Whitt and FBT!! Your videos so much better than confusing textbook.

[@FortBendTutoring]

That's wonderful 2 hear Michele! We're doing our best 2 help those in need! Thanks 4 watching!

[@IfHeD1esHeD1es]

omg so many arrows to pop haha. I am back here every semester and get the BEST help. Thank you Mr Whitt!!

[@cmejia4401]

Man this intro gets me all hyped up for my final!

[@AuthenticSugar]

Absolutely love your videos, the best!!

[@FortBendTutoring]

+Dumebi Thanks 4 your patronage!

[@rociorodriguez860]

Your the best teacher!!! You make me love math, I thought I would never say that!!! Thank you for doing what you love because you are so great at it!!!!

[@FortBendTutoring]

Thanks 4 your kind words Rocio! I really appreciate your support! Have a wonderful day!😁

[@darlenedavenport4254]

omg!! you are awesome! not only did you help me understand the problems but you made me laugh!! love it! Thanks so much!

[@FortBendTutoring]

Happy 2 help Darlene! Thanks 4 the support!

[@darlenedavenport4254]

:)

[@Fialol109]

I like when you give a lot of examples. Thank you so much that really helped

[@FortBendTutoring]

I appreciate your valuable feedback Ayah!

[@michaelsomoza8658]

These are the best videos. Thank you so much you're such a good tutor/teacher!!

[@FortBendTutoring]

+Michael Somoza Thanks 4 your support Michael! I appreciate your kind words!

[@tyrohellion]

Get them arrows POPPIN!!

[@FortBendTutoring]

That's right Tyro! Keep those ARROWS POPPIN'!

[@carlsonmoncrief3370]

And 3x+1 times 1 equals 3x+1 ....Yup. These videos are making math second nature. Best teacher I've ever had, and He's online., amazing.

[@thelifeofmel17]

You guys are awesome!!! thank you so much for the tutorials. My professor is very confusing and I usually just tune him out after an hour. I am a very visual learner and your videos are so helpful!!

[@cailleoira9876]

Loved the intro

[@FortBendTutoring]

I really appreciate the support! Keep up the good work!

[@richardevans9465]

Best examples I have seen. Thanks

[@FortBendTutoring]

Happy 2 help Richard! Thanks 4 the feedback! 😁👨🏾‍🏫

[@si-an5192]

now this, is my kind of intro

[@carnivalwrestler]

I love these problems where you need to incorporate other skills (like finding the LCD, factoring, etc.), especially when they make the problem so much easier. It's all coming together and starts to make sense, and I get the idea that all this will be applicable to real world engineering and science solutions. Just think, you might be influencing some young (or older) mind to become the person who saves planet Earth from a swarm of rogue asteroids. (who ya' gonna; call,? Asteroid Busters!) Thank you for this and all your other excellent tutorials. And thanks in advance for saving planet Earth.

[@FortBendTutoring]

Saving one planet at a time CarnivalWrestler! 😇

[@stephanieperez4929]

Thank you! You are a blessing 🙏🏼🙏🏼

[@edwardmaximus5439]

I’m watching this as part of my review. Because of your radical videos, I passed my last test. Thank you

[@FortBendTutoring]

Happy 2 hear it Edward! Thanks 4 watching!

[@aentropy]

You're tutorials are fun and easy to learn! Unlike my current teacher in Gen. Math.

[@FortBendTutoring]

Thanks 4 the feedback Aminoddin! Happy 2 help!

[@lenarifae9858]

Very helpful Mr. Whitt Thank you

[@FortBendTutoring]

+Lena Rifae My pleasure Lena! Thanks 4 watching!

[@SkilledCheckmates]

seriously the best!

[@FortBendTutoring]

Thanks!

[@elizabethdamour3514]

Wow, that was extremely helpful! Thanks!!

[@FortBendTutoring]

+Elizabeth D'Amour Happy 2 help Elizabeth! Thanks 4 watching!

[@ekene09obi]

Best video ever !!

[@FortBendTutoring]

+Ekene Obi Thanks 4 the support Ekene!

[@VickiCabrera]

Thank you soooo much for your work! I'm having such a hard time with math in college and your videos are saving my sanity! :)

[@FortBendTutoring]

Happy 2 help!

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Your accent makes me like math more !

[@FortBendTutoring]

+T.F.B KZbin That's wonderful 2 hear! Thanks 4 watching!

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Thankyou wonderful FBT you always explain it so well, I always have an Ahh I finally get it moment when I watch your videos : )

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+Corazon Momoiro We appreciate your patronage! :-)

[@eastheart7792]

I Appreciate Your Videos, ;)

[@Guana-ur3qu]

I don't know..I just want to tell u that you saved my life..thanks!

[@FortBendTutoring]

+Guana2424 You're very welcome! Happy 2 help!

[@jamiemalajacan3012]

this really helped me a lot !! thank you! i'lll use this for my report tomorrow

[@FortBendTutoring]

You're very welcome Jamie! Good luck on your report!

[@catanderson3904]

Great video! I'm still so confused! I'll be watching this video a few times!

[@FortBendTutoring]

Cat Anderson Good luck Cat! You can do it!

[@WonderWallman]

You make it look so easy! The only variable I see on my tests is an "F" though :-/

[@FortBendTutoring]

+Jay Garay The value of a variable can change Jay! Change the "F" into an "A"!

[@tahawanis1866]

Thanks man it really helped me

[@depotagents]

You saved my ass. Thank you so much!

[@FortBendTutoring]

Happy 2 help!

[@fraglecaelum2040]

THIS IS SO GOOD!

[@FortBendTutoring]

+The One Asshole69 Thanks 4 the support! 😁

[@kellygoodman6167]

The One Asshole69 wow even the trolls are in here doing math

[@fraglecaelum2040]

Yes bro! Haha

[@FortBendTutoring]

+The One Asshole69 Thanks! 😁

[@Beethoven1111]

Question. . . at around 6:08, you are setting the equation to 0. In my calculations, I did so by subtracting 2x from each side. I ended up with an answer identical, but, with the signs reversed. Why wouldn't this work? I subtracted 2x from each side to get 0 on the left, then rearranged the remaining numbers on the right to fit into a quadratic equation... but doing so made the leading coefficient -6 vs positive six, and while this gave me an incorrect answer, I'm curious as to why because I don't see how it broke any "rules"

[@FortBendTutoring]

+Beethoven1111 You can use that process just add the step of dividing or multiplying the equation by -1 which will change the signs. Once that’s done, your leading term will be positive.

[@Beethoven1111]

I do see what you're saying, however, how would one intuitively know to do that? Because to me, as I'm learning this, I wouldn't have assumed to do that - because when I subtract 2x from each side, then re-arrange to fit within a quadratic equation, I don't see anywhere where I'm messing with anythings positive or negative value. The equation ends up as -6xsquared + x + 1 = 0 I appreciate the reply, it is always nice to see a KZbin Channel where the talent replies back and interacts with the community.

[@jonwill]

@@FortBendTutoring Is a more complete answer that: once you reach a point where further factoring is not possible, you check your math tool box for something that could help you continue. In this case over by the 'difference of squares' tool is the 'divide or multiply by (-)' tool. So, while intuition is invaluable this instance doesn't really require it, but more so good process and sound foundation.

[@FortBendTutoring]

Absolutely Jon! Thanks 4 your input! Additionally, we can focus on the goal and that’s solving for a positive variable with a coefficient of one that doesn’t make the original statement undefined.

[@jonwill]

@@FortBendTutoring Once again you deepen my understanding. Thank you.

[@jessicaross5623]

Thank you so much !! this has helped me more then I can say

[@adamdintelman2067]

This video was extremely helpful thank you so much sir it means a lot.

[@FortBendTutoring]

+Adam Dintelman My pleasure Adam! Thanks 4 watching!

[@adrian8729]

thank you

[@taopisten3567]

in 2:31 where did that -10 come from? why did you subtract 10 to both sides?

[@FortBendTutoring]

+tao pisten It was to isolate the term with the variable. I used the additive inverse of 10, which is -10, so that I could eliminate that term on the right side of the equal sign.

[@jacquelinerichards1837]

Good teaching

[@FortBendTutoring]

Thanks 4 the support Jacqueline! I really appreciate it! 😁👨🏾‍🏫

[@AlivatorDIYxo]

THANK YOU SO MUCH

[@faithisabel25]

Maraming Salamat (Thank you) for sharing this video!

[@FortBendTutoring]

Thanks 4 watching Faith and thanks 4 sharing Maraming!

[@renshigeyoshi4464]

You are the reason why i get A's in my Math class

[@FortBendTutoring]

+Ayano Anonymous I'm pretty sure you did most of the work! lol However, I'll happily take partial credit! Congratulations Ayano!

[@ohyahitserika]

Is there a certain way to know for sure if a trinomial will not factor ? And is plugging in the numbers the only way to find out if it will creat a zero in the denominator ? Your videos are and have been a life saver for me and my online math class

[@FortBendTutoring]

+ohyahitserika Yes, there is. Check out our 3-part series on factoring quadratic trinomials. kzbin.info/www/bejne/p2fCoYqfm71-mbM Plugging in numbers works best in our experience, but you can also solve for the domain to simplify the process in most cases. kzbin.info/www/bejne/r4aWiqhvn66dmK8

[@hamidbagheri2155]

hi.in problem number 4 we shouldn't use perfect square method?

[@íղցմղԵ]

Thank you Mr. Whitt and Fort Bend Tutoring, you really helped me understand this. :D

[@íղցմղԵ]

Also. don't stop making these videos, they are really helpful to other people. :D

[@jaipadan4545]

thanks bro for teaching me

[@FortBendTutoring]

+Jai Padan My pleasure Jai! Thanks 4 watching! :-)

[@jorgecavazos2397]

you helped me thannx

[@FortBendTutoring]

Our pleasure Jorge! Thanks 4 watching!

[@philipnathan3486]

Thanks. :)

[@sofia9127]

the GOAT

[@michyoung77]

That m you SOOO much I was so stuck doing this on my homework no offense to my teacher but she sucks so yeah you made it much more understandable.

[@FortBendTutoring]

Happy 2 help!

[@destinyrios6096]

I don't understand this rational expression and equation thing. my college professor isn't any help. can you help me ?

[@FortBendTutoring]

Sorry 2 hear that! You can either check out this playlist: kzbin.info/aero/PL3Ip1JQi4mmLi4KKoLRu9Vd52xbKvJRa4 or see if another channel helps you understand. Good luck! Also, a one-on-one tutorial with a tutor you understand well may be your best bet.

[@AlovesC22209]

what app or program are you using?

[@FortBendTutoring]

Penultimate by Evernote

[@mr.hubris961]

What type of device are you writing on?

[@FortBendTutoring]

+Lonnie Williams It's called an Apple iPad Air Lonnie!

[@senlun2440]

How do you find the common denominator??? Also how do you know what the common denominator is

[@FortBendTutoring]

Finding the Least Common Denominator (LCD or LCM) [fbt] kzbin.info/www/bejne/o6CvlZqhfM-ljas

[@nikkipanda88]

Is there a video tutorial of how to check your work after you solved your problem??

[@FortBendTutoring]

No, but plug your answer into the original problem and simplify.

[@nikkipanda88]

I did and that's a fraction. lol

[@FortBendTutoring]

Ok, as long as both sides of the equal sign are equivalent that's fine. Good luck!

[@moscowliscenser853]

Where did he find that 10 that he just divided??

[@FortBendTutoring]

If you’re referring to the first example, he divided 4x by 2x to get 2. Then he multiplied that 2 by the 5 in the numerator to get 10.

[@night_dream3r3]

do you cross multiply if there was two different fractions on each side? question is based of your proportion example.

[@FortBendTutoring]

No. However, you can combine each pair of fractions so that you end up with one fraction on each side. After that, you can cross multiply.

[@bianncaholmes5416]

none of us want to deal with it.. no no we don't! but we know how to deal with it! words to live by lol

[@FortBendTutoring]

+Biannca Holmes lol Agreed Biannca! 😁 Thanks so much 4 your feedback! I really appreciate it!

[@victorcarter3724]

Why did u do positive x(3x+1) on the right side of the equal sign. Why not -x(3x+1)(1/x)(6x/3x+1)? Where did the positive x(3x+1)come from?

[@FortBendTutoring]

I generally will use the positive LCD although multiplying by the negative LCD will also work.

[@micopogi4269]

why did you cancel the 4x and 4 ? they are unlike terms

[@FortBendTutoring]

Unlike terms can be multiplied or divided (simplified). They can not be added or subtracted.

[@micopogi4269]

+Fort Bend Tutoring thank you very much. you're lifesaver

[@FortBendTutoring]

No "problem"! Good luck Mico!

[@mystamusta3314]

My exam is tomorrow and I was absent when they discussed this...nevertheless I understand ittt

[@GameOver-kl2sy]

I didn't gets. The Time you need to add or subtract....

[@FortBendTutoring]

+Game Over Check out this playlist: kzbin.info/aero/PL3Ip1JQi4mmKzk3arJI0WRJSdMjPfS3fq

[@EndDC]

Dawg still liking comments 10 years later

[@whosurbunny]

Sweet video but u skipped a step in explaining the factoring towards the end. Ill follow your link to see how u can to ur final conclusion

[@FortBendTutoring]

+Ashley Littles Sorry. That's why the link was included.

[@SuperSandytube]

I'm been trouble by this solving the problems. Can u help me to solve some thing like this d+6/4dsqof2+3/2dsqof2=d+4/2dsqof2? Can u help me to solve this. Pretty please to know the step by step. Reply 🙏

[@FortBendTutoring]

Sure Purelight! Just setup a paid online tutorial at FortBendTutoring.com and I’ll be happy 2 help!

[@_A_343]

How did you go from, (X -1/2) ()X+1/3) to (2X-1) (3X+1)?????? And why divide (X-3/6)(X+2/6)=0 .by 6????? I thought you just bring down the 6)

[@FortBendTutoring]

Check out kzbin.info/www/bejne/iWSqf6CefpVgqbc

[@ericchhun8116]

why do you need to subtract 10 both side. i mean don't you have to add 10 to both side

[@FortBendTutoring]

+Eric chhun In order to isolate the term with the variable, we subtracted 10 from both sides of the equation.

[@ericchhun8116]

+Fort Bend Tutoring but I thought you have to add the 10 to both side

[@ericchhun8116]

+Fort Bend Tutoring I don't really get it

[@FortBendTutoring]

+Eric chhun This should help: kzbin.info/www/bejne/Z5LSq2aVfrOcr9E

[@FortBendTutoring]

+Eric chhun This should help: kzbin.info/www/bejne/Z5LSq2aVfrOcr9E

[@secretttttt9539]

checking please...

[@FortBendTutoring]

+blah blah checking what?

[@ceciliaaying7578]

hello mr whitt my idol please make a video about building up a denominator please you are my only hope to learn math easier thank you very much god bless i hope t hat i could be as bright as you

[@FortBendTutoring]

Sure thing! Here it is (check the last few questions): Finding the Least Common Denominator (LCD or LCM) [fbt]kzbin.info/www/bejne/o6CvlZqhfM-ljas

[@AmethystVr-7]

Ok, so my teacher gave us a word problem.... here is similar one ...Bill and Will are brothers who are both taking graduate level art classes. To help pay off their student loans, they decide to sell watercolor replicas of Andy Warhol's art. To produce one piece of work, Bill takes 0.5 hours less than Will. Working together, it takes them 2 hours. Find the time it would take each of them if they worked individually. Round your answers to 2 decimal places. When I do the total time together word problems I get it. But I am un clear how to find individual time. Would the equation be st up 1/t +1.5/t = 1/2

[@FortBendTutoring]

+Wilmari Eckerson The setup is 1/t + 1/(t-.5) = 1/2 Check out the following video: kzbin.info/www/bejne/jmnHqZqoYsh8q5o

[@lailadelila7937]

Can you please take my test for me?😭

[@FortBendTutoring]

+Laila Delila lol Sure thing Laila! 😁

[@jamesw3236]

the song in the beginning sounded like "F**K being tutoring*

[@FortBendTutoring]

Lol Really?

[@jamesw3236]

Very much so, but you helped me out thanks!

[@FortBendTutoring]

You're welcome James! Happy 2 help!

[@jovannahmariehingpit5822]

Some explanations are too fast...

[@SuperFOrkerism]

sorry i got confused in like canceling 4x( 5/2x ) cause 4x / 2x is 2x right or i didnt listen to my teacher

[@FortBendTutoring]

+Campy That's not correct. (4x)/(2x) is 2. This should help: kzbin.info/www/bejne/sHPNm39jZpx8qrc

[@SuperFOrkerism]

thank you so much

[@FortBendTutoring]

+Campy Fantastic Campy! Happy 2 help!