(2x+3)(2x-3)=6

Solution for (2x+3)(2x-3)=6 equation:

Simplifying
(2x + 3)(2x + -3) = 6

Reorder the terms:
(3 + 2x)(2x + -3) = 6

Reorder the terms:
(3 + 2x)(-3 + 2x) = 6

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

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

Solving
-9 + 4x2 = 6

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 = 6 + 9

Combine like terms: -9 + 9 = 0
0 + 4x2 = 6 + 9
4x2 = 6 + 9

Combine like terms: 6 + 9 = 15
4x2 = 15

Divide each side by '4'.
x2 = 3.75

Simplifying
x2 = 3.75

Take the square root of each side:
x = {-1.936491673, 1.936491673}