(8x-4)(8x+4)=0

Solution for (8x-4)(8x+4)=0 equation:

Simplifying
(8x + -4)(8x + 4) = 0

Reorder the terms:
(-4 + 8x)(8x + 4) = 0

Reorder the terms:
(-4 + 8x)(4 + 8x) = 0

Multiply (-4 + 8x) * (4 + 8x)
(-4(4 + 8x) + 8x * (4 + 8x)) = 0
((4 * -4 + 8x * -4) + 8x * (4 + 8x)) = 0
((-16 + -32x) + 8x * (4 + 8x)) = 0
(-16 + -32x + (4 * 8x + 8x * 8x)) = 0
(-16 + -32x + (32x + 64x2)) = 0

Combine like terms: -32x + 32x = 0
(-16 + 0 + 64x2) = 0
(-16 + 64x2) = 0

Solving
-16 + 64x2 = 0

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + 64x2 = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 64x2 = 0 + 16
64x2 = 0 + 16

Combine like terms: 0 + 16 = 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}