0=x^2-12x-64

Solution for 0=x^2-12x-64 equation:

Simplifying
0 = x2 + -12x + -64

Reorder the terms:
0 = -64 + -12x + x2

Solving
0 = -64 + -12x + x2

Solving for variable 'x'.

Combine like terms: 0 + 64 = 64
64 + 12x + -1x2 = -64 + -12x + x2 + 64 + 12x + -1x2

Reorder the terms:
64 + 12x + -1x2 = -64 + 64 + -12x + 12x + x2 + -1x2

Combine like terms: -64 + 64 = 0
64 + 12x + -1x2 = 0 + -12x + 12x + x2 + -1x2
64 + 12x + -1x2 = -12x + 12x + x2 + -1x2

Combine like terms: -12x + 12x = 0
64 + 12x + -1x2 = 0 + x2 + -1x2
64 + 12x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
64 + 12x + -1x2 = 0

Factor a trinomial.
(16 + -1x)(4 + 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 '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Solution
x = {16, -4}