0=-128+x^2-8x

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

Simplifying
0 = -128 + x2 + -8x

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.
(16 + -1x)(8 + x) = 0

Subproblem 1
Set the factor '(16 + -1x)' equal to zero and attempt to solve:

Simplifying
16 + -1x = 0

Solving
16 + -1x = 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 + -1x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 0 + -16
-1x = 0 + -16

Combine like terms: 0 + -16 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16
Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 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 + x = 0 + -8

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

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

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