9y(2+3x)(2-3x)=0

Solution for 9y(2+3x)(2-3x)=0 equation:

Simplifying
9y(2 + 3x)(2 + -3x) = 0

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

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

Reorder the terms:
(-81x2y + 36y) = 0
(-81x2y + 36y) = 0

Solving
-81x2y + 36y = 0

Solving for variable 'x'.

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

Add '-36y' to each side of the equation.
-81x2y + 36y + -36y = 0 + -36y

Combine like terms: 36y + -36y = 0
-81x2y + 0 = 0 + -36y
-81x2y = 0 + -36y
Remove the zero:
-81x2y = -36y

Divide each side by '-81y'.
x2 = 0.4444444444

Simplifying
x2 = 0.4444444444

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