How to factor a quadratic equation when c=0 - Free Math Help - Online Tutor

👉Learn how to solve quadratic equations by factoring when a is equal to 1. A quadratic is an algebraic expression having 2 as the highest power of its variable(s). To factor an algebraic expression means to break it up into factors (expressions that can be multiplied together to get the original expression).

To factor a quadratic equation whose coefficient of the squared variable is 1, all we need to do is to find two factors of the constant term whose sum gives the coefficient of the linear term. Once we have our quadratic factored we will use the zero product property so solve our equation. The solutions to a quadratic equations are the x-intercepts, roots, zeros or solutions to the quadratic equation.

Organized Videos:
✅Solve Quadratic Equations by Factoring
✅Solve Quadratic Equations by Factoring | Learn About
✅Solve Quadratic Equations by Factoring | Square Root Method
✅Solve Quadratic Equations by Factoring | Zero Product Property
✅Solve Quadratic Equations by Factoring | GCF
✅Solve Quadratic Equations by Factoring | x^2+bx+c
✅Solve Quadratic Equations by Factoring | Difference of Two Squares
✅Solve Quadratic Equations by Factoring | Perfect Square
✅Solve Quadratic Equations by Factoring | ax^2+bx+c

Connect with me:

#quadratics #solvingquadratics #brianmclogan

[samuelmurrill]

I like at the end when you can faintly hear a student say "What?"

[fatherfilth]

This is infinitely easier than what my math teacher showed us how to do it. Took her a full class and it took you 1 minute 15 seconds, Bravo!

[abrilalvarez]

Thank you!
I had already studied this and needed a fast explenation right to the point to refresh my memory.

[brianmclogan]

your welcome, let me know how else I can help you along

[melissazadrozny]

Thank you, it gets really frustrating when a textbook explains something but doesn't include specific scenarios even though the homework assignment for that section expects me to know how to handle those scenarios. Happens hundreds of times in every damn math class, and videos like this really help.

[atianacurrie]

I love this guy so much, he is amazing, he helps me so much, every time I watch his videos, I learn something. Thank you million times.

[brianmclogan]

Try this, multiply both equations out x(3x-4) = 0 is now 3x^2-4x = 0 and 2x(3x-4) = 0 is now 6x^2-8x = 0. Now if we factor our a two in the second equation we obtain. 2(3x^2-4x) = 0 which is exactly the same as your first equation except it is multiplied by two. To undo the multiplication by two we divide by two on both sides. Giving us two equations that are both exactly the same

[ChronicalsCore]

This Video is still helping out students, 13 years after the video was made. Thanks alot!!!

[gabrielhornbrook]

This was very helpful, wonderful, thanks alot

[LowBudgetProduct]

What if A is greater than 1 and C is 0?

[brianmclogan]

so you have the equation 2x(3x-4)=0 From here you can apply the zero product property so that 2x=0 or 3x-4 =0 then x will equal 0 or 4/3. Notice that the multiplying by two does not affect either answer. So we could go back to the original equation and divide by two on both sides to simplify the equation to x(3x-4)=0 because when we apply the zero product property here we have the same solution

[brianmclogan]

I will see what I can do tomorrow with my camera on, but basically you need to see that when solving for x. 2x=0 that you divide by two on both sides and your value of x =0. Another example 2x = 12 when you divide by x you get x = 6. Those are equivalent equations. Where you value of x is equal to six. The first one is just multiplied by two on both sides. In your equation 2x(3x-4)=0 is equivalent to x(3x-4) = 0 because you can divide by two and get the second equation from the first.

[alexxchavezee]

Thanks bro. Showed the brilliance of the zero product property like an OG, triple OG.

[brianmclogan]

Where did you see the problem further simplified to x(3x-4)? The final simplified version is 2x(3x-4). However in your problem you have your quadratic equal to zero so when you are SOLVING you will have 2x(3x-4) = 0 which may be simplified to x(3x-4) = 0 because they divided by 2 on both sides to undo the multiplication of 2.

[brianmclogan]

same thing you will want to factor your variable and if possible the A in your equation

[l-daoverload]

I am from Thailand I like your teaching.

[brianmclogan]

will x=0 and 2x=0 provide the same answer? yes x = 0 in both circumstances. So when you have 2x(3x-4)=0 that is equivalent to x(3x-4)=0

[Mkg]

Thank you so much this saved me so much time

[intrsv]

i was having a hard time finding this specific type of problem thanks

[muireannc]

This was seriously so helpful and very concise, thank you!