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

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

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

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

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

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