(2q+3)(2q-3)=0

Solution for (2q+3)(2q-3)=0 equation:

Simplifying
(2q + 3)(2q + -3) = 0

Reorder the terms:
(3 + 2q)(2q + -3) = 0

Reorder the terms:
(3 + 2q)(-3 + 2q) = 0

Multiply (3 + 2q) * (-3 + 2q)
(3(-3 + 2q) + 2q * (-3 + 2q)) = 0
((-3 * 3 + 2q * 3) + 2q * (-3 + 2q)) = 0
((-9 + 6q) + 2q * (-3 + 2q)) = 0
(-9 + 6q + (-3 * 2q + 2q * 2q)) = 0
(-9 + 6q + (-6q + 4q2)) = 0

Combine like terms: 6q + -6q = 0
(-9 + 0 + 4q2) = 0
(-9 + 4q2) = 0

Solving
-9 + 4q2 = 0

Solving for variable 'q'.

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

Add '9' to each side of the equation.
-9 + 9 + 4q2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 4q2 = 0 + 9
4q2 = 0 + 9

Combine like terms: 0 + 9 = 9
4q2 = 9

Divide each side by '4'.
q2 = 2.25

Simplifying
q2 = 2.25

Take the square root of each side:
q = {-1.5, 1.5}