(-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}