(8x-2)(8x+2)=12

Solution for (8x-2)(8x+2)=12 equation:

Simplifying
(8x + -2)(8x + 2) = 12

Reorder the terms:
(-2 + 8x)(8x + 2) = 12

Reorder the terms:
(-2 + 8x)(2 + 8x) = 12

Multiply (-2 + 8x) * (2 + 8x)
(-2(2 + 8x) + 8x * (2 + 8x)) = 12
((2 * -2 + 8x * -2) + 8x * (2 + 8x)) = 12
((-4 + -16x) + 8x * (2 + 8x)) = 12
(-4 + -16x + (2 * 8x + 8x * 8x)) = 12
(-4 + -16x + (16x + 64x2)) = 12

Combine like terms: -16x + 16x = 0
(-4 + 0 + 64x2) = 12
(-4 + 64x2) = 12

Solving
-4 + 64x2 = 12

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 64x2 = 12 + 4

Combine like terms: -4 + 4 = 0
0 + 64x2 = 12 + 4
64x2 = 12 + 4

Combine like terms: 12 + 4 = 16
64x2 = 16

Divide each side by '64'.
x2 = 0.25

Simplifying
x2 = 0.25

Take the square root of each side:
x = {-0.5, 0.5}