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

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

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

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

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

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

Combine like terms: -2x + 2x = 0
0 = 2(-1 + 0 + 4x2)
0 = 2(-1 + 4x2)
0 = (-1 * 2 + 4x2 * 2)
0 = (-2 + 8x2)

Solving
0 = -2 + 8x2

Solving for variable 'x'.

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

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

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