(4x+2)(1-2x)=0

Solution for (4x+2)(1-2x)=0 equation:

Simplifying
(4x + 2)(1 + -2x) = 0

Reorder the terms:
(2 + 4x)(1 + -2x) = 0

Multiply (2 + 4x) * (1 + -2x)
(2(1 + -2x) + 4x * (1 + -2x)) = 0
((1 * 2 + -2x * 2) + 4x * (1 + -2x)) = 0
((2 + -4x) + 4x * (1 + -2x)) = 0
(2 + -4x + (1 * 4x + -2x * 4x)) = 0
(2 + -4x + (4x + -8x2)) = 0

Combine like terms: -4x + 4x = 0
(2 + 0 + -8x2) = 0
(2 + -8x2) = 0

Solving
2 + -8x2 = 0

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + -8x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -8x2 = 0 + -2
-8x2 = 0 + -2

Combine like terms: 0 + -2 = -2
-8x2 = -2

Divide each side by '-8'.
x2 = 0.25

Simplifying
x2 = 0.25

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