(2x-8)(2x+8)=55

Solution for (2x-8)(2x+8)=55 equation:

Simplifying
(2x + -8)(2x + 8) = 55

Reorder the terms:
(-8 + 2x)(2x + 8) = 55

Reorder the terms:
(-8 + 2x)(8 + 2x) = 55

Multiply (-8 + 2x) * (8 + 2x)
(-8(8 + 2x) + 2x * (8 + 2x)) = 55
((8 * -8 + 2x * -8) + 2x * (8 + 2x)) = 55
((-64 + -16x) + 2x * (8 + 2x)) = 55
(-64 + -16x + (8 * 2x + 2x * 2x)) = 55
(-64 + -16x + (16x + 4x2)) = 55

Combine like terms: -16x + 16x = 0
(-64 + 0 + 4x2) = 55
(-64 + 4x2) = 55

Solving
-64 + 4x2 = 55

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 = 55 + 64

Combine like terms: -64 + 64 = 0
0 + 4x2 = 55 + 64
4x2 = 55 + 64

Combine like terms: 55 + 64 = 119
4x2 = 119

Divide each side by '4'.
x2 = 29.75

Simplifying
x2 = 29.75

Take the square root of each side:
x = {-5.454356057, 5.454356057}