Learn the ac method for factoring and solving a quadratic equation

we find two factors of the product of the constant term (the term with no variable) and the coefficient of the squared variable whose sum gives the linear term. These factors are now placed in separate brackets with x to form the factors of the quadratic equation.
There are other methods that can be used to achive this including the AC, Berry, Box, Grouping, diamond and mental technique. Once we have factored the quadratic equation, we then apply the product property to solve our equation. When solving a quadratic equation we call our solutions the zeros, x-intercept, and roots.
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Organized Videos:
✅Solve Quadratic Equations by Factoring
• Solve Quadratic Equati...
✅Solve Quadratic Equations by Factoring | Learn About
• Solve Quadratic Equati...
✅Solve Quadratic Equations by Factoring | Square Root Method
• Solve Quadratic Equati...
✅Solve Quadratic Equations by Factoring | Zero Product Property
• Solve Quadratic Equati...
✅Solve Quadratic Equations by Factoring | GCF
• Solve Quadratic Equati...
✅Solve Quadratic Equations by Factoring | x^2+bx+c
• Solve Quadratic Equati...
✅Solve Quadratic Equations by Factoring | Difference of Two Squares
• Solve Quadratic Equati...
✅Solve Quadratic Equations by Factoring | Perfect Square
• Solve Quadratic Equati...
✅Solve Quadratic Equations by Factoring | ax^2+bx+c
• Solve Quadratic Equati...
🗂️ Organized playlists by classes here: / mrbrianmclogan
🌐 My Website - www.freemathvid...
🎯Survive Math Class Checklist: Ten Steps to a Better Year: www.brianmclog...
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👨‍🏫 Current Courses on Udemy: www.udemy.com/...
👨‍👩‍👧‍👧 About Me: I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Find more here: www.freemathvi...
#quadratics #solvingquadratics #brianmclogan

[@crystalkeeper1063]

I’m literally watching this in class instead of paying attention to the lesson

[@ProtoFreeze]

same bro, same

[@loadingle6893]

Relatable

[@mathewbrigman5592]

Ultimate flex

[@JAF1073]

I’m watching this in class while writing my fpt

[@michaelleal3866]

Literally my professor explained this for 3 days and this guy helped me understand it in 5 minutes. Thanks.

[@sasha1551]

I hope Tyler was paying attention lol.

[@tatiana_films]

Sasha Sauber it be that way

[@NoraCGVK]

@@tatiana_filmsnah it dont

[@NoraCGVK]

@@tatiana_filmsi’m in the mood to piss people off

[@adamlone3271]

3:58 OK tyler?

[@elijahwashington970]

adam lone when you be on your phone while the teacher giving instruction 🤣🤣

[@4Rjxn]

I was looking for this comment

[@PeachandMario]

@@4RjxnTry any combinations of x and change the signs Keep working until you find the correct factorisation!😂😂😂

[@Okay1]

OK!??

[@adamlone3271]

@@Okay1 ok

[@Emily-nd1rk]

I've had multiple cry sessions because I genuinely have no idea what my teacher is saying, and our tests are the only thing she grades, but you make it so easy. Thank you so much ❤️

[@brianmclogan]

You are very welcome Emily, keeping working hard. You got this!!💪

[@canthandlemelilbro]

Why are you a baby

[@rezedo6965]

​@@canthandlemelilbro ikr

[@bballhighlights544]

@@canthandlemelilbro y'all stop ciber bullying

[@canthandlemelilbro]

@@bballhighlights544 turn off your phone 💀

[@thaHunnids]

I LOVE this teacher. Wish I could take his class. I’ll replace Tyler!

[@twebb6486]

Are you from fmhs??

[@lulu_TheWitchBoy]

Replace Tyler 💀

[@stealyoflow653]

@Muhammad Samji Tyler Is one of the students lmao

[@stealyoflow653]

@Muhammad Samji Tyler Is one of the students lmao

[@D10RFITZ]

idiot he’s confusing

[@azidhussain2686]

Man, you are so the BEST. I wish my math teachers were half this great.

[@brianmclogan]

happy to be there for you Azid

[@eu.maverick]

Ikr

[@M.V6969]

@@brianmclogan 4:36 How did you get the 3x + 1 from the 3x plus 5?

[@dominicstreif7628]

@@M.V6969 he took the terms from outside the parenthesis and put them together

[@mariaharnsworth1729]

@@dominicstreif7628 but wouldn't it be (in the beginning) 4 instead of -12 because if you add 9 + negative 5 that's four

[@mjequestrian892]

I think im going to cry!! I have been struggling so so bad with this in math and couldn't for the life of me get it! But your video made it click in my brain! Thank you!!

[@logan__hite]

same

[@tonyp.1463]

I hope Tyler got the lesson lol.

[@trav-c137]

right after he got 3x(3x-5)+1(3x-5)=0 i didnt understand how he then got (3x-5)(3x-1)=0 :/

[@TonyKingOfTheOzone]

I know its been a year, but if you look he basically drops one of the (3x-5)and multiplied that by grouping the 2 outside numbers 3x and the +1 into (3x+1) in its place.

[@rachelbryan4039]

“Write down all of the factors” when ur number is -360 😃

[@dimthecat9418]

Ha

[@blaize7450]

mine is -450 :(

[@DaDoonieBandit]

You guys have books?

[@blaize7450]

@@DaDoonieBandit i don’t actually, my teacher uses a website called ALEKS that works very similar to a textbook actually! the thing is, ALEKS has horrible explanations so i often find myself coming to youtube for them

[@DaDoonieBandit]

@@blaize7450 ye i used to use aleks in middle school for math

[@youmellow2298]

Why does it change from 3x-5 to 3x+1?

[@carlosandrade5554]

I am in here too wondering the same thing

[@drabberfrog]

Do we have any update? I have an exam tomorrow

[@neambler]

zee Unveil said this below: sry i know this is a late reply but 3x-5 is a common factor so they get regrouped as one. and then the term that's outside gets grouped as 3+1. idk if that helped

[@alexazuewsky7658]

He lost me in the last 4 seconds I i wish he woulda explained the last part better

[@steveriso3802]

This math literally makes zero sense

[@RomFrmPhalls]

Once you get to like the 3rd step it can be different for any equation it’s confusing

[@adelekeYetunde-vb8yd]

Just like your brain 🧠 this man is very brilliant you shouldn't abuse his work

[@erinjade2003]

Why am I abt to cry this man is singlehandedly saving my junior year grade

[@brianmclogan]

😍

[@rhiannalingle7509]

he's really saving my SAT score :,)

[@ColeBoring]

Why am I learning this in 8th grade😭

[@jelly5664]

Thank you so much, you’re the only math teacher who I’ve been able to grasp concepts from. I was literally crying because I didn’t understand at first even after trying to figure it out by asking friends, using my notes, my teacher’s notes as well as looking online for two hours straight. It’s pretty crystal clear now.

[@neambler]

I love the large X idea to separate everything. It helps me sort what steps I need to take. This whole videos is great. I, too, was confused about why it was 3x+1, but zee Unveil explained below about how you "merge" the two 3x-5's because they're the same factor. So, you're left with one of the (3x-5)'s and the two remainders, which are (3x+1). That's an important step to explain next time. Still...tyvm, good sir! :)

[@jinnwinn5578]

I still dont get it

[@yellowkoolaid6382]

just wondering how did you get (3x+1) at 4:46

[@alexfry4897]

Exactly what I’m wondering

[@neambler]

zee Unveil said this below: sry i know this is a late reply but 3x-5 is a common factor so they get regrouped as one. and then the term that's outside gets grouped as 3+1. idk if that helped

[@Imbobbyd]

Ive seen this before in a lecture but didnt know exactly how to ask for an ac method, ive been using the quadratic formula method when I couldve been using this for easier results. Thank you again! your videos have been so helpful for me!

[@jeffw1267]

The quadratic method is super easy in this case and it took me about 60 seconds to find the roots AND plug them into the equation. If A (the coefficient of the x^2 term) is not 1 or 2 then I don't waste time trying to factor it manually. The quadratic formula never fails.

[@WizC5]

You taught me in 5 minutes what my professor couldn't do in 5 months. Thank you!

[@harrymatabal8448]

Wiz why don't you admit you are stupid. Don't blame your teacher

[@saella2402]

hi!!! thanks so much for this! I'm having a hard time at our class since the teacher is fast paced! This helps a lot! :D

[@pritamdhinsa448]

9x5=45=15x3 hence 1/9(9x-15)(9x+3)=(3x-5)(3x+1) is the ans.

[@brianmclogan]

thanks

[@Paul-eh7wb]

I've been watching your videos since 5:00pm yesterday preparing for my Precalc exam tonight -- thank you!

[@obnoxiouscat6269]

wow

[@sophiebybophie]

I wanna thank you so much for this video! Seriously, my teacher moves way too fast, and it's with every lesson. I find myself learning through videos online instead. I'm so happy for this video because i tend to over think things...make things a bigger problem than it really is. And so having you explain things in such a simple way, like, idk i don't feel stupid.

[@sponeor7382]

Don't overthink things God is with you

[@NotFbi]

In 4:18 we see that he factors out the 3x-5 but I’m confused why like isnt there a rule where if u removes something I goes somewhere like something like that

[@i_am_pinnacle]

Bro has beef with tyler 💀💀💀 3:55

[@doorlord1521]

At 4:26 onward, how do you go from what you have to what you get? Like how do you factor out that expression?

[@doorlord1521]

Oh, for those who don’t know, I figured it out. You put into parentheses one of the original expressions you had. In this case: (3x-5) Then put into parentheses the two outside terms. This being 3x and 1 to get (3x+1) So then you write it as (3x+1)(3x-5)

[@alexr6527]

@@doorlord1521 bruh thank you so much for this

[@Ryan-si2zb]

@@doorlord1521 legend.

[@chemicalrose747]

It’s 10:36 pm in Chicago and today is my 27th birthday. I finished school years ago and idk why I’m here but I gotta say… I got it almost immediately. You’re a great teacher bc I suck at math. Or maybe it’s the wine 🤘🏾cheers man

[@kinyamadege__6235]

Ur videos are going to make me cry. Im so happy right now

[@mouf1647]

Kinyamadege __ Calm down there it’s just math😅

[@ParkerHill_Number18]

am i the only one who still confused

[@taitea5477]

YOU'RE A LIFE SAVER THANK YOU SO MUCH

[@rajveerbhardwaj8470]

Sir , I love the way you teach , I have my final for Algebra 2 on Wednesday and I’m watching this to prepare 👌

[@stevenshtan9521]

Please tell me the answer: Form an equation involving x and show that it to 2x2-5x-12=0

[@brianmclogan]

Check out my q&a livestreams

[@anthoniohenry5488]

tokyo ghoul is my favorite anime

[@V0id678]

gay shit

[@fadeout5814]

It's a W anime, gonna re-watch soon

[@tygrizzlyy]

I don’t know if you’ll reply but at 4:38 how did you get 1 for the second set of parentheses? Anyone may help

[@tygrizzlyy]

Did you just move the 1 from in front of it in place of the -5?

[@chandramohandevaragatla2829]

@@tygrizzlyy I'm also confused on that

[@teknul89]

@@tygrizzlyy It’s because in the first parenthesis he had to find a number that was common with both and the first one was 3 in (9x-15) but in the second one (+3x -5) there is no number there is common with 3 and 5 so that mean he can add 1+ and do a parentheses and write the remaining before so that means he gets his equation to be 3x(3x-5) +1 (3x-5) = 0 I hope this answer your question

[@teknul89]

@@chandramohandevaragatla2829 It’s because in the first parenthesis he had to find a number that was common with both and the first one was 3 in (9x-15) but in the second one (+3x -5) there is no number there is common with 3 and 5 so that mean he can add 1+ and do a parentheses and write the remaining before so that means he gets his equation to be 3x(3x-5) +1 (3x-5) = 0 I hope this answer your question

[@neambler]

zee Unveil said this below: sry i know this is a late reply but 3x-5 is a common factor so they get regrouped as one. and then the term that's outside gets grouped as 3+1. idk if that helped

[@divinephanes]

bro you teach this so much better than my teacher LMFAOO

[@ftfaizan2902]

Can some one solve this 5xsquared - 6x - 23 = 0

[@daledurbin1990]

On the fourth part where you get (3x - 5)(3x + 1) = 0, where did you get the positive 1 from? Isn't it supposed to be (3x - 5)(3x - 5) = 0?

[@brianmclogan]

no try multiplying it back out

[@Tzuyuuu.]

Ji m what you did was multiply from the inside only. You’re supposed to combine the outside terms then bring down the 3x-5 so in this case, (3x+1) (3x-5) is correct because both the 3 and the 1 is out of the parentheses

[@matheushamukwaya6331]

@@Tzuyuuu. I got it now I was also confuse

[@edencortesi-hennell5566]

@@brianmclogan Hiya!! Your video really helped thank you, but i also don't understand WHY it's +1 instead of -5? Please may you help, Thank you!!

[@neambler]

@@edencortesi-hennell5566 zee Unveil said this below: sry i know this is a late reply but 3x-5 is a common factor so they get regrouped as one. and then the term that's outside gets grouped as 3+1. idk if that helped

[@gamja_YT]

how would you solve 3x^2+5x+7=0?

[@anyonegotasnickersbar]

Where did (3x-1) come from?

[@abdelrahmansultan8834]

i have the same question and i cant find an answer

[@pamnob2259]

@@abdelrahmansultan8834 I think 3x *3x is 9x^2

[@hooglyboogly4888]

Correct. This video helped so much with my math test 😅

[@girlmathsbutitsactuallymaths]

(3x+1) is the stuff in red that’s left over after you take away the common bracket of (3x-5)

[@dianadidyk9495]

wait why did the 5 turn into a 1 towards the end of the equation went from (3x-5) to (3x+1)?

[@neambler]

zee Unveil said this below: sry i know this is a late reply but 3x-5 is a common factor so they get regrouped as one. and then the term that's outside gets grouped as 3+1. idk if that helped

[@RaichalRiju]

OMGG I AM SO GRATEFUL FOR THIS VIDEO, I WAS LITERALLY STRESSING CAUSE I HAVE A MATHS EXAM TMRW AND I HAD NO IDEA ON HOW TO DO THESE. THANK YOU SO MUCHHHH YOU ARE THE BEST.

[@helinaambaye9785]

I wish u were my math teacher 😭😭😭

[@pizzapython]

I've watched like 6 of these videos about quadratic formula simplifying radicals and now how to factor when a isn't 1. This guy is a madman at math

[@imannasir4622]

tyler u better start paying attention

[@dht2391]

nis

[@ryan_the_overlord]

Thanks man!

[@brianmclogan]

You are very welcome Ryan

[@thehorseunicorn4890]

Es el pelón de brazzer

[@markgg223]

My teacher thought I was cheating on my homework because I solved this way

[@kylerv]

Extremely Helpful, thank you so much!

[@michelef406]

Thanks for teaching the method so clearly. Any suggestion about the idea behind it? I can understand the simpler case, x^2 + (a+b)x + ab = (x+a)(x+b) but I can't quite "make the jump" to the case whete you have kx^2 as the starting monomial

[@ColdLoiVRumble]

TYLER TOP STUDENT❤

[@lilroz.6996]

I love you ❤️

[@someonespadre]

I do not think my HS Algebra teacher in 1977 explained this nearly this clearly. I remember the word factoring but don’t remember anything else.

[@evanhardy29]

Thank youuuu I didn’t understand my teacher I have a test tomorrow on factoring I am definitely passing it

[@Lilyakhmatova2006]

😭pray for me I have a test too

[@radboyx6889]

This video was really good thanks, this is actually helping me with AP calc, completely forgot how to do AC method lol

[@pizzapie5356]

How do you do this when c = 3021 and you cant use a calculator

[@rangonutz5048]

I'm advance studying for grade 7 thank you this is amazing ❤❤

[@savannahpeirce2832]

Can you replace my algebra teacher please? I just watched every quadratics video you have to not fail my math class due at 8 am tomorrow

[@justicemcintosh3294]

Can someone explain how he got 3x+1?

[@neambler]

zee Unveil said this above: sry i know this is a late reply but 3x-5 is a common factor so they get regrouped as one. and then the term that's outside gets grouped as 3+1. idk if that helped

[@PeachandMario]

I think that use COMPLETE THE SQUARE method

[@maryamjxydbfb]

school literally just opened from lockdown and we have exams, I completely forgot everything

[@rajendrayadava8757]

amazing video, but one thing. At the end, when you say factor out what they have in common, why do you say (3X - 5)(3X + 1) ??

[@putuagusmuliartha6875]

[X+(3/9)] [X-(15/9)]=0...X=-3/9=-1/3 or X=15/9=5/3...yours was too long

[@liyahchance8981]

It’s crazy that I get what you say before I get what my teacher in honors Alg2 says because, you actually slow it down!! I

[@vision4456]

3:58 yeah Tyler

[@brianmclogan]

😍

[@kennethalarcon440]

You can easily just put the number divided by X into y=, in a graphing calculator and you’ll get all of the factors for it. In this case you’d put 45/X into y=. You would’ve gotten the factors for it.

[@aidangowadia9263]

What a g

[@ethanolol3895]

Thank you for this. I never learned this and it makes factoring easier

[@brianmclogan]

you are very welcome!

[@JunoAintHere]

I wonder if this guy has a video where youtube sent him his 1 mil play button. He's getting one million subscribers on youtube as a teacher that is probably currently teaching at a school. Thats crazy

[@elliotskunk]

Mr McLogan, great vid, thanks, but can you please explain to me the maths behind this ac trick? why does it work?

[@jeffw1267]

It would be faster to use the quadratic equation, if you have practiced it.

[@hamziniii]

Thank youuuu so much helping a lot with basic a level questions

[@MrDylanButton]

@@calebswabel144 and basic a level

[@mohavicdelofficial6891]

I wish you were my math professor in college because the lady that teaches me, I don’t understand her at all 😭😂😂

[@JosiahLogan-uh5cm]

Hey I think you made a mistake negatives are below zeros so negative 5 is less then zero but thank you for this channel you have

[@matheushamukwaya6331]

Thankz alot you are such a good lecture

[@gb_angel-yt7639]

Still lost.

[@kennethalarcon440]

TiNy_AnGeL-YT you’re dumb as fuck 🤣

[@kappastar4839]

@@kennethalarcon440 LMAOOOOO

[@TheBeast-po6kd]

I understood everything up to 4.40 idk where you got the 1 from it’s confusing

[@lilstump5539]

Jesus died for our sins so that we can go to heaven. He payed our price. Put your trust in Jesus Christ and he will grant you the gift of heaven. 💯

[@MintRipple]

Today is the test and I am sooo thankful for this video. I now understand how to do this.

[@braya777]

nice profile picture brian mclogan much love from souith africa ☺♥

[@liberatorg410]

When hr number is 25920... and you gotta find fir 426...

[@Jyugou]

I do not understand the part where you have gotten (3X-5)(3X+1)

[@joseolivier4576]

Thank you so much this video was sooooooo helpful GOD BLESS

[@richanddarksbane1439]

Love your lessons man they're really getting me through algebra 2

[@Damagedbtw]

no one answers him in the classroom lmao

[@ily3518]

Thanks so much :) I’m in 8th grade my teacher doesn’t teach ily

[@aisoldme]

4:37 how u get 3x-1

[@neambler]

zee Unveil said this below: sry i know this is a late reply but 3x-5 is a common factor so they get regrouped as one. and then the term that's outside gets grouped as 3+1. idk if that helped

[@GarrettH1]

God I feel dumb I don't know if I can grasp this stuff.

[@ya2eed]

What still watching...

[@yoberna9065]

Can someone help with 3x squared -2x -2=0

[@Ouji_Akira]

This vids title should be HOW TO MAKE U AN IDIOT

[@TylerTheIncredible7]

Wait what happened, did you call my name?

[@gavinseimer5736]

Where did the 1 come from though? It replaced the -5 so where did the -5 go?

[@milkshake4499]

Hope Tyler was paying attention lol.

[@youngblacklife9419]

Milkshake 44 😂

[@coolhandpanda457]

Taking the praxis. This was a helpful review. Thank you

[@gladmattyice3521]

Tyler wasn't paying attention for a second hahaha 3:58

[@zeeunveil1324]

be my college teacher bro haha jk my professor is sweet she is sweet

[@mandymanohar1640]

Why do I only understand when he does it

[@davegrohl4life]

THANK YOU MY BALD HEADED SAVIOUR YOU A KING FR