x(x-8)=128

Solution for x(x-8)=128 equation:

Simplifying
x(x + -8) = 128

Reorder the terms:
x(-8 + x) = 128
(-8 * x + x * x) = 128
(-8x + x2) = 128

Solving
-8x + x2 = 128

Solving for variable 'x'.

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

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

Factor a trinomial.
(-8 + -1x)(16 + -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 '(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
Solution
x = {-8, 16}