(2x+8)(2x-8)=0

Solution for (2x+8)(2x-8)=0 equation:

Simplifying
(2x + 8)(2x + -8) = 0

Reorder the terms:
(8 + 2x)(2x + -8) = 0

Reorder the terms:
(8 + 2x)(-8 + 2x) = 0

Multiply (8 + 2x) * (-8 + 2x)
(8(-8 + 2x) + 2x * (-8 + 2x)) = 0
((-8 * 8 + 2x * 8) + 2x * (-8 + 2x)) = 0
((-64 + 16x) + 2x * (-8 + 2x)) = 0
(-64 + 16x + (-8 * 2x + 2x * 2x)) = 0
(-64 + 16x + (-16x + 4x2)) = 0

Combine like terms: 16x + -16x = 0
(-64 + 0 + 4x2) = 0
(-64 + 4x2) = 0

Solving
-64 + 4x2 = 0

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 + 4x2 = 0 + 64

Combine like terms: -64 + 64 = 0
0 + 4x2 = 0 + 64
4x2 = 0 + 64

Combine like terms: 0 + 64 = 64
4x2 = 64

Divide each side by '4'.
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}