(2x-1)(2x+1)=102.6

Solution for (2x-1)(2x+1)=102.6 equation:

Simplifying
(2x + -1)(2x + 1) = 102.6

Reorder the terms:
(-1 + 2x)(2x + 1) = 102.6

Reorder the terms:
(-1 + 2x)(1 + 2x) = 102.6

Multiply (-1 + 2x) * (1 + 2x)
(-1(1 + 2x) + 2x * (1 + 2x)) = 102.6
((1 * -1 + 2x * -1) + 2x * (1 + 2x)) = 102.6
((-1 + -2x) + 2x * (1 + 2x)) = 102.6
(-1 + -2x + (1 * 2x + 2x * 2x)) = 102.6
(-1 + -2x + (2x + 4x2)) = 102.6

Combine like terms: -2x + 2x = 0
(-1 + 0 + 4x2) = 102.6
(-1 + 4x2) = 102.6

Solving
-1 + 4x2 = 102.6

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 = 102.6 + 1

Combine like terms: -1 + 1 = 0
0 + 4x2 = 102.6 + 1
4x2 = 102.6 + 1

Combine like terms: 102.6 + 1 = 103.6
4x2 = 103.6

Divide each side by '4'.
x2 = 25.9

Simplifying
x2 = 25.9

Take the square root of each side:
x = {-5.08920426, 5.08920426}