(3x+6)*(x-4)=0

Simple and best practice solution for (3x+6)*(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 (3x+6)*(x-4)=0 equation:


Simplifying
(3x + 6)(x + -4) = 0

Reorder the terms:
(6 + 3x)(x + -4) = 0

Reorder the terms:
(6 + 3x)(-4 + x) = 0

Multiply (6 + 3x) * (-4 + x)
(6(-4 + x) + 3x * (-4 + x)) = 0
((-4 * 6 + x * 6) + 3x * (-4 + x)) = 0
((-24 + 6x) + 3x * (-4 + x)) = 0
(-24 + 6x + (-4 * 3x + x * 3x)) = 0
(-24 + 6x + (-12x + 3x2)) = 0

Combine like terms: 6x + -12x = -6x
(-24 + -6x + 3x2) = 0

Solving
-24 + -6x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-8 + -2x + x2) = 0

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

Ignore the factor 3.

Subproblem 1

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

Subproblem 2

Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 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 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4

Solution

x = {-2, 4}

See similar equations:

| 5(x-1)-(x+3)=4 | | p=2b+2m | | x+(x+41)=-11 | | 8-cosx=0 | | x+(x+36)=6 | | -2x+4y-8=0 | | x-7/x3 | | 3.5x+7=14 | | 30x-10x=60 | | 3/4m+5=2 | | 7-e^6x=2 | | 2cos^2(5x)-1=0 | | 30x-10x=5 | | x+2/2=x+4/6 | | -3.5(10x-2)=-176.75 | | x-10/10=10-x/3 | | x/4=1-x | | 146=10x-8x | | 3x(6x-17)=x^2-34 | | 48-3u^2=0 | | 4/5x-18=-6 | | 2/3x-41/2=-8 | | 44/7x | | 6(x-1)=4(6.2-2x) | | 2.6x-10.88=8.1 | | -u-4u-16v-10v= | | y=(y*0.35)+20000 | | x=-8.375+0.125d+-0.375y | | (24-2).4= | | 11(p-3)=5 | | 3x+11y=200 | | 3/4a=20 |

Equations solver categories