(2x-3)(2x+3)=100

Solution for (2x-3)(2x+3)=100 equation:

Simplifying
(2x + -3)(2x + 3) = 100

Reorder the terms:
(-3 + 2x)(2x + 3) = 100

Reorder the terms:
(-3 + 2x)(3 + 2x) = 100

Multiply (-3 + 2x) * (3 + 2x)
(-3(3 + 2x) + 2x * (3 + 2x)) = 100
((3 * -3 + 2x * -3) + 2x * (3 + 2x)) = 100
((-9 + -6x) + 2x * (3 + 2x)) = 100
(-9 + -6x + (3 * 2x + 2x * 2x)) = 100
(-9 + -6x + (6x + 4x2)) = 100

Combine like terms: -6x + 6x = 0
(-9 + 0 + 4x2) = 100
(-9 + 4x2) = 100

Solving
-9 + 4x2 = 100

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 4x2 = 100 + 9

Combine like terms: -9 + 9 = 0
0 + 4x2 = 100 + 9
4x2 = 100 + 9

Combine like terms: 100 + 9 = 109
4x2 = 109

Divide each side by '4'.
x2 = 27.25

Simplifying
x2 = 27.25

Take the square root of each side:
x = {-5.220153254, 5.220153254}