(x+6)(x-6)-64=0

Solution for (x+6)(x-6)-64=0 equation:

Simplifying
(x + 6)(x + -6) + -64 = 0

Reorder the terms:
(6 + x)(x + -6) + -64 = 0

Reorder the terms:
(6 + x)(-6 + x) + -64 = 0

Multiply (6 + x) * (-6 + x)
(6(-6 + x) + x(-6 + x)) + -64 = 0
((-6 * 6 + x * 6) + x(-6 + x)) + -64 = 0
((-36 + 6x) + x(-6 + x)) + -64 = 0
(-36 + 6x + (-6 * x + x * x)) + -64 = 0
(-36 + 6x + (-6x + x2)) + -64 = 0

Combine like terms: 6x + -6x = 0
(-36 + 0 + x2) + -64 = 0
(-36 + x2) + -64 = 0

Reorder the terms:
-36 + -64 + x2 = 0

Combine like terms: -36 + -64 = -100
-100 + x2 = 0

Solving
-100 + x2 = 0

Solving for variable 'x'.

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

Add '100' to each side of the equation.
-100 + 100 + x2 = 0 + 100

Combine like terms: -100 + 100 = 0
0 + x2 = 0 + 100
x2 = 0 + 100

Combine like terms: 0 + 100 = 100
x2 = 100

Simplifying
x2 = 100

Take the square root of each side:
x = {-10, 10}