3(2-x)(x-4)=0

Simple and best practice solution for 3(2-x)(x-4)=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 3(2-x)(x-4)=0 equation:


Simplifying
3(2 + -1x)(x + -4) = 0

Reorder the terms:
3(2 + -1x)(-4 + x) = 0

Multiply (2 + -1x) * (-4 + x)
3(2(-4 + x) + -1x * (-4 + x)) = 0
3((-4 * 2 + x * 2) + -1x * (-4 + x)) = 0
3((-8 + 2x) + -1x * (-4 + x)) = 0
3(-8 + 2x + (-4 * -1x + x * -1x)) = 0
3(-8 + 2x + (4x + -1x2)) = 0

Combine like terms: 2x + 4x = 6x
3(-8 + 6x + -1x2) = 0
(-8 * 3 + 6x * 3 + -1x2 * 3) = 0
(-24 + 18x + -3x2) = 0

Solving
-24 + 18x + -3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-8 + 6x + -1x2) = 0

Factor a trinomial.
3((-4 + x)(2 + -1x)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-4 + x)' equal to zero and attempt to solve: Simplifying -4 + x = 0 Solving -4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x = 0 + 4 x = 0 + 4 Combine like terms: 0 + 4 = 4 x = 4 Simplifying x = 4

Subproblem 2

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Solution

x = {4, 2}

See similar equations:

| x+(a-3)=(x+5)-(x+2) | | 5-3(x+11)=2(x+11)-5 | | 5x-(2x+1)=13+2(x-5) | | 18*4.5= | | -3+2y=3 | | 8(x+1)=4(6x-2) | | -3+2y=-6 | | y=16x^2+4x+12 | | 12+8x-2=26 | | 17-x=3(x+13) | | M^2=-7m-6 | | 4x=8-7x | | 10-2(x+8)=18 | | n-50=8 | | -2(x-5)+10=-3(x+2)+2 | | 2g-10=8 | | (x-3)(x+3)+30=12x | | 1=(3x+22) | | x=7000/y | | 2rs+6r^2-3s-9r=0 | | x^3-4x^2-20000=0 | | 5248=40(p+41) | | 3-2h=11 | | (x+20)(8x+10)x= | | h=-16t*16t+288t+8 | | -10x+4y=18 | | 9b+5=41whatisb | | 13x+2y-10+7y= | | 5248=40p+41 | | 34=j-12 | | 10-n=11 | | f^2-18f=0 |

Equations solver categories