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

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

Simplifying
x(x + 8) + -1(x + 8) = 0

Reorder the terms:
x(8 + x) + -1(x + 8) = 0
(8 * x + x * x) + -1(x + 8) = 0
(8x + x2) + -1(x + 8) = 0

Reorder the terms:
8x + x2 + -1(8 + x) = 0
8x + x2 + (8 * -1 + x * -1) = 0
8x + x2 + (-8 + -1x) = 0

Reorder the terms:
-8 + 8x + -1x + x2 = 0

Combine like terms: 8x + -1x = 7x
-8 + 7x + x2 = 0

Solving
-8 + 7x + x2 = 0

Solving for variable 'x'.

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

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Solution
x = {-8, 1}