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

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

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

Reorder the terms:
(2 + 4x)(4x + -2) = 0

Reorder the terms:
(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}