❖ Solving Quadratic Equations by Factoring - Basic Examples ❖

[@patrickjmt]

Hi all! Please post comments, questions and anything else on your mind in the comment section! While I try to answer as many questions as I can, there are more questions than I can answer by myself so if you are someone who might be able to help, please do so! The community is so much better when everyone is involved and helping each other out. Our strength is our willingness to help each other! Also please feel free to like or dislike the video. Your feedback is always appreciated so that hopefully I can make my future videos the best possible! Thanks and happy studies!

[@jakobdeleon2050]

This helped me so much! I just went into geometry PAP and right now we are doing algebra review. I had forgot most stuff from last year! Definitely looking at your other videos when I need to

[@nobodyxiii3792]

In college rn you're a God send

[@vincebeliran2062]

How does x-2=0 become x=2 +2 +2

[@kimbermudez5463]

God sent !!! Love your videos

[@VibeXskyy]

What if there is x²+6x+5

[@squidge4728]

Looking at all the comments from like 6 years ago makes me wonder how they’re doing now

[@nyshu]

yo same..

[@jackiepool]

same lmao

[@jjackieaguirre]

fr....

[@capucinedlx]

How r u doing

[@longshot2486]

Lmao

[@RestfulRhythms0]

Yo so anyone else getting ready to take the L tomorrow?

[@teddya6108]

Hi hello that is me

[@ceiling771]

Me

[@mcjrotcmemories1312]

Yep

[@alexanderbutter168]

today

[@layla3165]

Yep

[@Eren92812]

anybody else gonna fail their test tomorrow

[@xNodNarbz]

+Alexander Power4 yes send help plz

[@TZmayo]

yes :D

[@stormycat774]

Thelegend27 yep

[@stormycat774]

The C+ I have in Algebra is about to go down to a D-

[@riesnatt510]

this comment is one year ago but tomorrows my exam!!!! oh god i hope i passed wish me luck

[@theatregeek4273]

Math Ad: What? still getting help on your math on youtube? Do the videos really help even though they were posted on 2009? Well I suggest you to try this web... *Skip* KZbin video: Aight this video I'm gonna do a couple of examples..

[@vinz5576]

got the same ad from mathpug lmao

[@m1l4n1nh3ll]

i got the same ad too wtf

[@L.A.M.B_B4]

@@m1l4n1nh3ll because the video is related to math, the ad creator/youtube probably did that on purpose. I got the same ad.

[@coconutph8842]

2006*

[@nochannelaccess9461]

Got the same ad lol

[@CarpioStudio]

I wish you were my teacher, the teacher that my educational system has provided me is a horrible and disrespectful human being.

[@thesen15club42]

Mines Jamacian and i can barely understand what she is saying and when you ask a question she gets mad so ya i understand where you are coming from brother

[@cyrus6236]

mines Turkish and speaks NO "engish"

[@rello__btw9445]

Mordecai Cyrus HOW IS THAT POSSIBLE

[@aydngg113]

Ibrahim Cyrus lol I am Turkish too and we kinda suck at speaking other languages, sorry .

[@camilamartinez3051]

same.

[@aaronmann9675]

he did the exact problem that i was stuck on 🙏🏽🙏🏽🙏🏽🙏🏽🙏🏽🙏🏽🙏🏽

[@stormycat774]

Aaron Mann lol the problem I was stuck on was 2x^2-5x-2=0. THEY WERE SO CLOSE!

[@keyetoyoru3448]

Same here hahah

[@georgia3123]

Preach

[@jawadalatassi3251]

Gods plan

[@michaellattimer8647]

Bruh same lol

[@PhillipWJJohnson]

you lost me on the second question

[@doodlejumperr296]

+Phillip Johnson same I'm so confused

[@carlchaillon8935]

+Phillip Johnson How?

[@benzxor]

This is solving quadratic equations, not inequalities. For quadratic equations you simply factor (using a number of different ways, like completing square or quadratic formula) and you solve for x inside the brackets.

[@helgaespiritu5418]

how did a 3 got there?

[@benzlim9220]

You may simply transpose the 3 next to it and the integer will be changed

[@lamontwilliams3551]

I'm confused on the second one because on the first on u had to multiply something to get 14 but it also to add it to get it to 9 so how does -3 and 1 get to get too 5

[@Angell10]

Roboartist 2x * - 3 = -6x 1 * x = 1x -6 + 1 = -5 basically distributing, at a point.

[@alphavector4824]

Lamont Williams yes, me too. I will go with grouping then.

[@yushiwal]

Same confusion here x. x

[@TyrantDaddy7328]

Common MISTAKE

[@buhaykosagabi]

foil method

[@fiightmilk]

Is it overreacting for parents to flip out if you have anything less than a B in class and still complain about B’s? Mine do that but I’m not the smart kid and they put so much pressure on me and give me so much grief when I’m not the smartest kid in class, I just want to know if anyone else has parents like that. It’s really stressful and they never help anything they just add stress to the equation

[@hyunyi4870]

I totally understand where you’re coming from my parents can be the same way, the best thing you can do is talk to your parents and ask them to give you a break and tell them that you are trying to be the best you can. And also talk with your teachers, don’t be afraid to go to extra help, get/do extra credit and ask questions, teachers can really help. I was failing one of my math classes a couple years ago and I talked with my parents first and told them I’m trying my hardest and then I talked with my teacher for steps going into the future and I’m doing a lot better. I hope this helps and good luck!

[@nancysario7839]

😂

[@simranm9069]

My parents expect me to get straight As and it can be so pressurizing sometimes. I totally get it.

[@safrid129]

The Mighty Starbrand ur a nitty

[@chandnibegum556]

@The Mighty Starbrand nobody asked nobody cares that ur parents beat you,not trying to be mean but you are being a hypocrite

[@marynchilton1182]

Trial and error is not a good way to demonstrate solving the problem.

[@50subscriberswithnovideos67]

Maryn Chilton yes it is lol it's a clear solution instead of grouping

[@ashthepokemonfan1651]

When u try and be smart

[@vesta1000]

in fact it is the best way. if you practiced factoring with many problems, the succeeding ones won't even be a problem anymore, your brain's instantly going to tell you that these are the correct factors. Moreover, you can easily tell whether or not it's factorable. I think much of the problem lies with one's basic math, put some effort on it.

[@marynchilton1182]

@@vesta1000 yeah well I’m stupid

[@Lain-404]

I've taken a break from school between hs and college and its been a few years since my last math class. This was a perfect refresher for a method I had forgotten but needed for class. Thank you!

[@kindaedgy3548]

I still don't get how we can apply this to our daily lives and how this will help me pursue my future course of being a graphic artist but okay

[@patrickjmt]

this isn't going to help you be a graphic artist, you are correct.

[@kindaedgy3548]

how could we apply this to our daily lives tho? btw thanks for the vid. it helped me with my math quiz lol

[@bruhh489]

@@kindaedgy3548 by passing a piece of paper that's gonna decide your future... Our school system is retarded

[@bluerinako]

@@bruhh489 you ain't deep stop failing high school math

[@bruhh489]

@@bluerinako who said I was failing lol?

[@RS-gc8iw]

We're learning about this today in Algebra 2 and I was having computer issues. Thank you for this video, it's still a big help to people 10 years later! I now understand the concept.

[@tristandominguez5179]

Bruh I'm in algebra 1 learning this

[@patrickjmt]

factoring, graphing, completing the square, quadratic formula are ways to solve. i almost always only use factoring or the quadratic formula.

[@chubbybishi9069]

Yo, I've been trying to understand this for three days, and I finally get it now. Thank you so much for this video, man. 👌

[@KSNIPERD]

pls don't show the mistakes

[@ba_pc]

Hhhhhhhh me too

[@Breyerlover4ever23]

Why? It'll help you advoid making that mistake.

[@ba_pc]

ThatOneHammy Because I thought it was the right solution loool, I did not notice it was wrong,

[@shadrachmanful7001]

whaaaat? it said at the top "COMMON MISTAKE!"

[@333Tushar333]

السفير العسيري definitely

[@prasadruhern6663]

when math is hard, you watch this video. the math just got harder.

[@josiahw3219]

Na this is way easier than the way my teacher explains it

[@kidshavefun0156]

He was so clear the way he explained this topic..

[@vibes.5470]

hey! fairly new to this concept, my teachers just simply explain it, no details, nothing, but you, my friend put it better than any of my teachers could ever put it!

[@rvre777]

Anybody in 2019 ready to fail?

[@lytfn1006]

@Kie Lie same i have a test tommorow and rip me

[@carlitosvictorino844]

yep and im going in to my casket and sleep forever

[@caitlin8888]

No cap

[@AP05_]

well we did not expect COVID lol

[@ishikaajinimoto]

2020pfff congrats its my turn🤣

[@simply_sophia]

What my teacher at school tried to teach me in a term, you've taught me in 3mins20secs!!! THANK YOU SO MUCH :D

[@soniqueschroeder4252]

The fact that people can actually do math without feeling like dying amazes me every single time . Like is you even human ? Damn . Anyways let me go study ✋

[@nochannelaccess9461]

math is easy omegalul

[@sterr.enlicht2974]

It's still better than additional mathematics

[@aKFCBiscuit]

Thank you so much! My class is always talking and I can't learn this, probably the reason for my F in Algebra 2 right now.. but I finally understand my homework thanks to you. :)

[@tinak13_]

UMM SO LIKE WHY TF IS THIS DIFFERENT FROM THE WAY MY TEACHER TAUGHT IT TO THE CLASSS AND IM STILL ENDING UP WITH A WRONG ANSWERRRR??!!!!

[@nannanaya_]

@Fatuma Abdi which honestly fucks me up even fucking more. i am litetally fucking hopeless what the hell do i do

[@nochannelaccess9461]

Bean my CooCoo

[@bowdowntoanna]

I now know how to do my homework , KZbin is the best teacher ever . Thank you !

[@booopz9534]

Bruh it's been ten years and this guy still replies to comments on this video. What a G. Also this vid was super helpful.

[@dannyboiii6743]

all these comments on how easy this is is just making me more depressed! lol the struggle is real

[@food4daS0UL]

KZbin is the best tutor EVER. :)

[@INSTINCTZ101]

1 like = 1 goodluck in your exams tomorrow 😂😭✌🏽

[@spacecadet2358]

Didn't think something this old would be so useful

[@PhillipWJJohnson]

Thanks you for explaining this step by step. now i understand.

[@5000subsnovideo]

I saw you comment a few times already.

[@spxst0115]

Thanks so much you helped me

[@freefolk8174]

Even the "common mistake" looks smarter than mine ._.

[@patrickjmt]

@MissSmartCookie1 well, that only finds the x - coordinate of the vertex. it does not find the solutions / zeros / roots for the function

[@harrold5920]

Omg thank you so much !!!! 😘😘😘 you just earned a new subscriber dude !!! Keep doing what you are doing 👍👍👍

[@SizzaE60]

School system is fucked man. The fact that a guy on KZbin can teach me better than my actual teacher is just insane.

[@patrickjmt]

maybe i am just that good

[@SizzaE60]

@@patrickjmt u really are man. I just got out of my math class with my teacher bi*ching about how bad we did and how shes mad at us for it. I swear man, i need a teacher thats mentally stable to be taught correctly. She comes in mad to class everyday.

[@danielledani_1232]

This was sooooo helpful. I'm studying for a test and this was the most helpful video i've found on youtube. It was clear and easy to follow along. I'm pretty sure i've got the hang of it now. Thank you so much!

[@cesarrodriguez-tw9bp]

Thanks a lot for the dynamic tone of voice and the detailed explanation

[@imaginaryobserver]

Five years and still my hero.

[@kavingamerx]

Thatnk you so much for making this video, it really hepled me as I was confused on how to factorise

[@mitchellchallis4962]

Anyone else watching this in 2017 and realising your gonna fail

[@CL0UD143]

Mitchell Challis rip

[@atrillz]

Yup

[@californianking5662]

The military DOES have "fucking rocket scientists"

[@ahmedthabit579]

I’m in 2018 bro also realizing gonna fail

[@jax4012]

* come on guyz believe in your selfs...(although y'all ready finished y'all's test) welp todays the day wish me luck!

[@1mm258]

In 30 minutes I'm going have to teach all my classmates so much math

[@baldbeautiful6950]

I totally appreciate all of your video even with these being out dated from more than several years ago and they are helping me get through all thia difficult math. I am forever grateful for you and your gift. Thanks for sharing your knowledge with us that just cant do it alone.

[@Halasaar]

Best tutor for free KZbin!! Thanks Will

[@SkySwipe]

the education system isnt trash my attention span is

[@AdamBaileyloltv12]

Thanks so much for making this! I've been trying to understand this for a month, and this is the only thing that has made me understand this. Thanks!

[@amogus5774]

I was just wondering if you're alive cuz your comment was 7 years ago 😂

[@xubiabdullahi.4118]

any one watching this 2018

[@AllTrickss]

2019 now

[@ethanr7974]

2019

[@kaleewalee8818]

2019 and I have a ton of homework pray for me

[@AllTrickss]

I’m praying for you and myself

[@mohamedaden1498]

guys i failed math😭

[@omaryasser2065]

WOW!!! THANK YOU!! I did not understood from either my father nor my teacher. Again thank you!!!

[@Bon4188]

Thanks, i couldnt have done my hw with out this

[@wootsy1406]

clear and concise, exactly what is needed when explaining anything.

[@random-bi5fn]

Bruh literally got an ad about searching for math problems from 2006

[@virgo2827]

same

[@ibruse]

I've been Watching a lot of your videos,They're by far the most useful ones, so Thank you Very Much!! (:

[@nikkowatanabe8180]

I always watch videos from this channel... because I kinda get passing grades when I watch vids here for my exam... tomorrow is my exam tho.

[@glenndelacerna7132]

+Jaylloyd Watanabe goodluck bro !

[@nikkowatanabe8180]

thanks I passed i got a 91.50 / 100 :)

[@glenndelacerna7132]

great job bro! keep it up :)

[@nikkowatanabe8180]

Thanks to you :)

[@ronnieDshman18]

Dude even though this vid is like eight years old you're still better than my real math teacher. Thanks!

[@MoreCowbell147]

Wish school would teach this as quickly and simply as this. We spent a whole lesson doing this stuff even though most of us had understood within the 1st 10mins, sure work with the slower to understand students for an extra 10mins, but ffs why do they waste the time of higher tier students by giving us 9999 problems to work out while we wait!?

[@temik7218]

Thanks!! This was much easier than I thought! I've been struggling on it for over a week!

[@nasmakaveli6191]

Using this to study for my exam thank you

[@patrickjmt]

Good luck! Study hard!

[@danielad8443]

same here dude!

[@ruth-annewhite5179]

this is bad

[@walfoh8368]

same

[@innerpeas]

Thank you patrickJMT, you're my mathematical messiah!!

[@yasir_quadri12]

Have my Exam tomorrow and learned Quadratic today.😗😐😐😐

[@bhuvaneshs9739]

Mr also

[@bhuvaneshs9739]

Me also

[@okthisisepic6273]

TOMORROW!! I CAN DO THIS!!!

[@supercoolguy12345]

At 5:34 why couldn't you just solve it the normal way so I could finally understand it. I do not know why you're pulling out the numbers -3 or +1 so THIS ISNT HELPFUL!

[@dakilangraikage9988]

Frustrated are we?

[@5000subsnovideo]

uhmm... no offense but I am in 6th grade and can understand this. Let me explain: the reason why they take -3 and 1 is because the integer we are trying to add up to is -5x. we want -3 to be connected to the 2x so we can get -6. -6 + 1 = -5

[@dejaluv.3]

Right, this wasn't helpful at all.

[@TheyWantMeGone69]

@@dejaluv.3 The method I'm learning has nothing to do with this. For me I'm supposed to find two numbers that multiply to -3 and and add to -5. Of course this won't work though.

[@kaidan9030]

Clarifying that you are in 6th grade in no way helps anyone. Even if you do understand these equations, that does not mean others will. Don't try to act smart and just help others with an easily comprehensible reply.

[@ginalienn1112]

This is very, very helpful. Trying to pass this new GED test. Thanks for the clear, straight forward explanation.

[@5000subsnovideo]

good luck.

[@adrianauerbach7954]

how is your adult life now

[@hansel9320]

he sounds like chan and im kinda flustered when he talks, it feels like chan is teaching me kajsakjjjsjsjs (dont mind my fangirling ass in this comment section)

[@guila3993]

no why do I hear it now omgg

[@hansel9320]

@@guila3993 im glad i'm not the only one who hears it :'D but when i rewatched the video (today) his voice doesn't sound like chan's anymore lmao

[@bubbleuu]

@@hansel9320 same lol at first it did but not anymore at least it motivated me for a few minutes

[@Brapgod]

Thanks for making this video. Was much more simple when compared to other videos

[@jimguytv5939]

Is it normal to do this in 8th grade?

[@muhammadreihan1517]

yea

[@Apwolsopcjrhei]

Yes it is very normal. I learned Quadratic when I was 9 years old

[@Apwolsopcjrhei]

+Bon Bon 9 years old

[@Apwolsopcjrhei]

+Bon Bon Well I only did learn the formula when I was 9 years old. I then learnt factoring and product and sum when I was 11. I'm now acing the test on algebra because I recorded all of my findings on a journal I made a long time ago

[@ziggytmbackupaccount7482]

I'm 12 in 7th grade taking 8th grade algebra

[@kurokawakane]

This guy teaches like a professional in my opinion. Thanks dude! I finally mastered this lesson because of you! Our teacher is so bad at teaching and shes very general in explaining! Her grammar even sucks like you couldn’t even understand most of her words!

[@patrickjmt]

happy i could help you at least :)

[@rajenderupadhyay1920]

it helped me

[@トミン-y5d]

I completely forgot everything about this! Thanks for the help!

[@alexiscarmona-sanchez2644]

ayooo failing finals check (2019)

[@laoyuk]

ayooo failing finals check (2020)

[@RHV-13]

we have a chapter test in math 8 and math 9 right now just after recess and im snucking my phone out just to review these. maybe I'll be reincarnated as a toilet brush after i die.

[@theq4602]

Thanks for going slow. My teacher covered all the quadratic stuff in 2 weeks and then expects us to do poorly and just "study more at home" Thing is I'm slow at learning and she'll cover a new way to solve a thing in 30 minutes and expect everyone to be ready for a quiz two days later on the subject. Is this normal?

[@5000subsnovideo]

yes. Starting from 5th grade, you should be studying alot from home.

[@Katxo1831]

We went through this in one day and have the quiz and test due today 🤷‍♀️

[@tayy1912]

2000 Subscribers With No Video No it’s not normal? She doesn’t take her time and make sure everyone understands

[@ThePowerOfThr33]

you're wayyyyyyyyy better than my teacher!

[@yeonju588]

I'm so stupid at math 😭😭😭💯

[@gregoryyang8988]

No, you aren't stupid you're just dumb. *meant to highly encourage people*

[@angeltv7120]

Its not that your dumb this its that his way to explain makes it harder to understand i know this and got confused by him

[@carlitosvictorino844]

same here

[@olyvia7847]

This makes perfect sense! I'm in Algebra (8th grade) and we are doing this. I did not get it at all because my teacher did not explain enough and moved on fast. Now this went slow enough where I could actually understand what's going on. Now I might actually be able to get a decent grade on my test.

[@lesterparanagan9132]

Is any body watching this on 2019?

[@Martin944turbo]

For 1.25 M subscribers earned, I must say that I disagree with the last example @6:09 and it's not taught well. It's "easy" for small numbers to play the guessing game but this method is not being taught. The better way to describe 2x^2-5x-3=0 which works for larger numbers is to multiply the 2 at the start with the -3 at the end. This gives us -6. The middle number is -5 in -5x. What two numbers using -6 can give me that -5 number? Well, this tells me that -6 + 1 = -5. This being said, so I know right away that I can write the equation as 2x^2-6x+x-3=0 ... now I can factor by grouping so I'll have 2x(x-3)+1(x-3)=0. I know from previous lessons that this is the same as (2x+1)(x-3) - BOOM, solved. You're welcome everyone :) I'll be here all night.

[@Hussaini786_]

Guys, the second one is wrong so no need to worry about that. He took only 3 but he had to multiply 3 by 2 first in order to get the answer which is 6, then (x-6)(x+1)=0 X=6 X=-1

[@Hussaini786_]

***** I'm so sorry, i consulted from my brother and he also said the same thing. my mistake! xD

[@younggeneration9018]

ZaidiKing93 no its not wrong

[@khaledalessa7759]

YES

[@pawlokrooz]

Hi! your videos are really helpful. Thank you! I have a question, can this equation be solve? 4x^2+6x-28=0

[@LemCatOfficial]

For anyone reading this currently: The solution is there is no solution I believe. Because any multiplication of the -28 will not work with the 6x when there is a 4x². Sometimes the answer in math is there is no answer, don't waste further time ^^

[@2dfire616]

anyone watching this in 2019

[@jasondavisjr]

Yes.

[@BENJAMIN12475]

Okay so I was in real problem, I'm struggling with this from last 3 years and finally my prayers are heard and I found this good man solving this problem so easily and helped me to understand this. OH thank you sir, is there any way I want you as my tutor please.

[@annabaker9336]

I kinda got the fist one an then the second one lost me........ math is so hard 2 me

[@patrickjmt]

it is challenging to everyone, believe me.

[@annabaker9336]

patrickJMT yeah so true

[@GAMERBOY-nk9wc]

wow English

[@tajamulsir9620]

No math is easy needs hard work.

[@5000subsnovideo]

dont listen to Mekayla, she is spitting out bullshit. What he is saying is -3 is connected to the 2x using something similar to distributive property. which will lead you to -6

[@passione2283]

I swear, how can these quadratic equations help me in life? I don't plan on being an engineer or any job that includes difficult math like this one. Math like this should be optional, because most of us students in don't even plan on using this for our lives! WHICH IS SO FRUSTRATING BECAUSE WHY SHOULD WE STUDY SOMETHING WHICH WE ARE NOT EVEN GOING TO USE

[@RaphofKang]

anyone notice he is left-handed...hey! wait a minute! so am I! Left-Handed people rock...anyway back to math.......

[@jarelpalau971]

Long live left handed people

[@michaelhernandez5636]

Me too!!

[@phantompyris8611]

Desman Holloway left hangers club!!!

[@michaelhernandez5636]

Fortnite. Dweeb you have a test tm?

[@phantompyris8611]

_Michael_ _Hernandez_ yes I do

[@ItsStefano]

what?

[@meaningoflife8373]

Jesus loves you and everyone and be safe

[@random-B007]

🫶

[@JoshuaRoberts-me7gz]

Thank u

[@Lololol31106]

Nice, I was able to answer module task, I already learned how to solver you #1 example, I just need to find the right factors

[@angelobahinting4703]

Thanks for saving my ass

[@joshtaylor381]

Why bother letting your real math teacher confuse you in class? This is so much better!

[@lanceanderson3217]

Kaya tinatamad nako magaral

[@Bitchbettahabmamuney]

Thank you for this video! I'm being forced into an online math course for ISU, and I had no idea how to figure out this stuff, that is until I watched this video.

[@pcboris3085]

On the last bit I don't understand wouldn't it be (2x-3)(x+1) because that makes -5x and it makes -3 I think u may have made a mistake

[@joshnowicki1094]

+Jack Ireland He got the right answer, but he did not use the simplest method. He guessed on order and happened to be right. He could have multiplied 2*-3=6 and gone from there. Needed to spend more time explaining his method.

[@keelaplunkett8834]

you taught in 7 minutes what my maths teacher couldn't in 7 weeks

[@ifeoluwaemmanuel9284]

Anyone in 2019

[@akaashpatel1929]

yes but this is really useless...

[@joshuaadaza8429]

This 7 min video taught me more than my teacher's lecture for 2 weeks worth

[@soap7686]

anyone else sitting here and wondering how he did this WITH A SHARPIE

[@DanteJ]

This helped me tons! Your the best!

[@abdullahAli-eq9ex]

sorry i got confusd i didnt get that :q

[@5000subsnovideo]

lol good luck

[@pencilmein6646]

This dude has everything!!

[@piquestaren3656]

never understood wat my teacher taught me ,,, but u rock man!!

[@ariellamissick4205]

I AM SO THANKFUL TO GOD FOR YOU PATRICK ! YOUR VIDEOS ARE MAJOR HELP! PLEASE DONT STOP!