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

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

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

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

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

Multiply (-2x + 3y) * (2x + 3y)
(-2x * (2x + 3y) + 3y * (2x + 3y)) = 0
((2x * -2x + 3y * -2x) + 3y * (2x + 3y)) = 0

Reorder the terms:
((-6xy + -4x2) + 3y * (2x + 3y)) = 0
((-6xy + -4x2) + 3y * (2x + 3y)) = 0
(-6xy + -4x2 + (2x * 3y + 3y * 3y)) = 0
(-6xy + -4x2 + (6xy + 9y2)) = 0

Reorder the terms:
(-6xy + 6xy + -4x2 + 9y2) = 0

Combine like terms: -6xy + 6xy = 0
(0 + -4x2 + 9y2) = 0
(-4x2 + 9y2) = 0

Solving
-4x2 + 9y2 = 0

Solving for variable 'x'.

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

Add '-9y2' to each side of the equation.
-4x2 + 9y2 + -9y2 = 0 + -9y2

Combine like terms: 9y2 + -9y2 = 0
-4x2 + 0 = 0 + -9y2
-4x2 = 0 + -9y2
Remove the zero:
-4x2 = -9y2

Divide each side by '-4'.
x2 = 2.25y2

Simplifying
x2 = 2.25y2

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