(x-8)(x+4)=-2(x-8)

Simple and best practice solution for (x-8)(x+4)=-2(x-8) 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 (x-8)(x+4)=-2(x-8) equation: 


Simplifying
(x + -8)(x + 4) = -2(x + -8)

Reorder the terms:
(-8 + x)(x + 4) = -2(x + -8)

Reorder the terms:
(-8 + x)(4 + x) = -2(x + -8)

Multiply (-8 + x) * (4 + x)
(-8(4 + x) + x(4 + x)) = -2(x + -8)
((4 * -8 + x * -8) + x(4 + x)) = -2(x + -8)
((-32 + -8x) + x(4 + x)) = -2(x + -8)
(-32 + -8x + (4 * x + x * x)) = -2(x + -8)
(-32 + -8x + (4x + x2)) = -2(x + -8)

Combine like terms: -8x + 4x = -4x
(-32 + -4x + x2) = -2(x + -8)

Reorder the terms:
-32 + -4x + x2 = -2(-8 + x)
-32 + -4x + x2 = (-8 * -2 + x * -2)
-32 + -4x + x2 = (16 + -2x)

Solving
-32 + -4x + x2 = 16 + -2x

Solving for variable 'x'.

Reorder the terms:
-32 + -16 + -4x + 2x + x2 = 16 + -2x + -16 + 2x

Combine like terms: -32 + -16 = -48
-48 + -4x + 2x + x2 = 16 + -2x + -16 + 2x

Combine like terms: -4x + 2x = -2x
-48 + -2x + x2 = 16 + -2x + -16 + 2x

Reorder the terms:
-48 + -2x + x2 = 16 + -16 + -2x + 2x

Combine like terms: 16 + -16 = 0
-48 + -2x + x2 = 0 + -2x + 2x
-48 + -2x + x2 = -2x + 2x

Combine like terms: -2x + 2x = 0
-48 + -2x + x2 = 0

Factor a trinomial.
(-6 + -1x)(8 + -1x) = 0


Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve:

Simplifying
-6 + -1x = 0

Solving
-6 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '6' to each side of the equation.
-6 + 6 + -1x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 0 + 6
-1x = 0 + 6

Combine like terms: 0 + 6 = 6
-1x = 6

Divide each side by '-1'.
x = -6

Simplifying
x = -6

Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {-6, 8}

See similar equations:

| 2x^2+7x=9x | | 3-4t=19 | | 6x^2=45x-75 | | x+3x+5=1000 | | 6x^2=40x-50 | | x*2=26 | | 2x(-2)-1=x | | 1+2(x+7)=-5 | | 9u-144+5=32 | | 2y(-3)-1=y | | 25=7+35t-16t^2 | | x=2x(-3)-1 | | y=2y(-3)-1 | | 324=5(x(9+x)+x(9+x)+(12+2x)+(12+2x)) | | 3(u^2-16)+5=32 | | y=-1(2)-3 | | 5x+40=100 | | y=-1(1)-3 | | y=-1(0)-3 | | -2-5m-m=9m-2 | | x^2+y-121=0 | | y=-1(-1)-3 | | 4x^2+kx+9=0 | | y=-1(-2)-3 | | y=-1(-3)-3 | | 3000-120x=2520 | | 7-2p=-(8p+5) | | y=2(-4)+3 | | y^2=10x-16-x^2 | | 6x-27=y | | 4(6+c)=3(c-4) | | y=3(3)+2 |

Equations solver categories