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

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

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

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

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

Multiply (2 + 3y) * (-2 + 3y)
(2(-2 + 3y) + 3y * (-2 + 3y)) = 0
((-2 * 2 + 3y * 2) + 3y * (-2 + 3y)) = 0
((-4 + 6y) + 3y * (-2 + 3y)) = 0
(-4 + 6y + (-2 * 3y + 3y * 3y)) = 0
(-4 + 6y + (-6y + 9y2)) = 0

Combine like terms: 6y + -6y = 0
(-4 + 0 + 9y2) = 0
(-4 + 9y2) = 0

Solving
-4 + 9y2 = 0

Solving for variable 'y'.

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

Add '4' to each side of the equation.
-4 + 4 + 9y2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 9y2 = 0 + 4
9y2 = 0 + 4

Combine like terms: 0 + 4 = 4
9y2 = 4

Divide each side by '9'.
y2 = 0.4444444444

Simplifying
y2 = 0.4444444444

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