x(x+8)-8(x+8)=

Solution for x(x+8)-8(x+8)= equation:

Simplifying
x(x + 8) + -8(x + 8) = 0

Reorder the terms:
x(8 + x) + -8(x + 8) = 0
(8 * x + x * x) + -8(x + 8) = 0
(8x + x2) + -8(x + 8) = 0

Reorder the terms:
8x + x2 + -8(8 + x) = 0
8x + x2 + (8 * -8 + x * -8) = 0
8x + x2 + (-64 + -8x) = 0

Reorder the terms:
-64 + 8x + -8x + x2 = 0

Combine like terms: 8x + -8x = 0
-64 + 0 + x2 = 0
-64 + x2 = 0

Solving
-64 + x2 = 0

Solving for variable 'x'.

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

Add '64' to each side of the equation.
-64 + 64 + x2 = 0 + 64

Combine like terms: -64 + 64 = 0
0 + x2 = 0 + 64
x2 = 0 + 64

Combine like terms: 0 + 64 = 64
x2 = 64

Simplifying
x2 = 64

Take the square root of each side:
x = {-8, 8}