x^2-16x-64=128

Solution for x^2-16x-64=128 equation:

Simplifying
x2 + -16x + -64 = 128

Reorder the terms:
-64 + -16x + x2 = 128

Solving
-64 + -16x + x2 = 128

Solving for variable 'x'.

Reorder the terms:
-64 + -128 + -16x + x2 = 128 + -128

Combine like terms: -64 + -128 = -192
-192 + -16x + x2 = 128 + -128

Combine like terms: 128 + -128 = 0
-192 + -16x + x2 = 0

Factor a trinomial.
(-8 + -1x)(24 + -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 '(24 + -1x)' equal to zero and attempt to solve:

Simplifying
24 + -1x = 0

Solving
24 + -1x = 0

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

Add '-24' to each side of the equation.
24 + -24 + -1x = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -1x = 0 + -24
-1x = 0 + -24

Combine like terms: 0 + -24 = -24
-1x = -24

Divide each side by '-1'.
x = 24

Simplifying
x = 24
Solution
x = {-8, 24}