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

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

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

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

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

Combine like terms: 2x + -2x = 0
(1 + 0 + -4x2) = 0
(1 + -4x2) = 0

Solving
1 + -4x2 = 0

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + -4x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4x2 = 0 + -1
-4x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-4x2 = -1

Divide each side by '-4'.
x2 = 0.25

Simplifying
x2 = 0.25

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