0=x^2+8x-128

Solution for 0=x^2+8x-128 equation:

Simplifying
0 = x2 + 8x + -128

Reorder the terms:
0 = -128 + 8x + x2

Solving
0 = -128 + 8x + x2

Solving for variable 'x'.

Combine like terms: 0 + 128 = 128
128 + -8x + -1x2 = -128 + 8x + x2 + 128 + -8x + -1x2

Reorder the terms:
128 + -8x + -1x2 = -128 + 128 + 8x + -8x + x2 + -1x2

Combine like terms: -128 + 128 = 0
128 + -8x + -1x2 = 0 + 8x + -8x + x2 + -1x2
128 + -8x + -1x2 = 8x + -8x + x2 + -1x2

Combine like terms: 8x + -8x = 0
128 + -8x + -1x2 = 0 + x2 + -1x2
128 + -8x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
128 + -8x + -1x2 = 0

Factor a trinomial.
(8 + -1x)(16 + x) = 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 '(16 + x)' equal to zero and attempt to solve:

Simplifying
16 + x = 0

Solving
16 + x = 0

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

Add '-16' to each side of the equation.
16 + -16 + x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + x = 0 + -16
x = 0 + -16

Combine like terms: 0 + -16 = -16
x = -16

Simplifying
x = -16
Solution
x = {8, -16}