(2-4x)(2+4x)=0

Solution for (2-4x)(2+4x)=0 equation:

Simplifying
(2 + -4x)(2 + 4x) = 0

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

Combine like terms: 8x + -8x = 0
(4 + 0 + -16x2) = 0
(4 + -16x2) = 0

Solving
4 + -16x2 = 0

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 + -16x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -16x2 = 0 + -4
-16x2 = 0 + -4

Combine like terms: 0 + -4 = -4
-16x2 = -4

Divide each side by '-16'.
x2 = 0.25

Simplifying
x2 = 0.25

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