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

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

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

Multiply (3 + -2x) * (3 + 2x)
(3(3 + 2x) + -2x * (3 + 2x)) = 0
((3 * 3 + 2x * 3) + -2x * (3 + 2x)) = 0
((9 + 6x) + -2x * (3 + 2x)) = 0
(9 + 6x + (3 * -2x + 2x * -2x)) = 0
(9 + 6x + (-6x + -4x2)) = 0

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

Solving
9 + -4x2 = 0

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 = 0 + -9

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

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

Divide each side by '-4'.
x2 = 2.25

Simplifying
x2 = 2.25

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