(x+8)(x-8)=80

Solution for (x+8)(x-8)=80 equation:

Simplifying
(x + 8)(x + -8) = 80

Reorder the terms:
(8 + x)(x + -8) = 80

Reorder the terms:
(8 + x)(-8 + x) = 80

Multiply (8 + x) * (-8 + x)
(8(-8 + x) + x(-8 + x)) = 80
((-8 * 8 + x * 8) + x(-8 + x)) = 80
((-64 + 8x) + x(-8 + x)) = 80
(-64 + 8x + (-8 * x + x * x)) = 80
(-64 + 8x + (-8x + x2)) = 80

Combine like terms: 8x + -8x = 0
(-64 + 0 + x2) = 80
(-64 + x2) = 80

Solving
-64 + x2 = 80

Solving for variable 'x'.

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

Add '64' to each side of the equation.
-64 + 64 + x2 = 80 + 64

Combine like terms: -64 + 64 = 0
0 + x2 = 80 + 64
x2 = 80 + 64

Combine like terms: 80 + 64 = 144
x2 = 144

Simplifying
x2 = 144

Take the square root of each side:
x = {-12, 12}