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

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

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

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

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

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

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

Solving
-4 + 9x2 = 0

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 9x2 = 0 + 4

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

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

Divide each side by '9'.
x2 = 0.4444444444

Simplifying
x2 = 0.4444444444

Take the square root of each side:
x = {-0.666666667, 0.666666667}