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

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

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

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

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

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

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

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

Solving
0 = -4x2 + 9y2

Solving for variable 'x'.

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

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

Combine like terms: -4x2 + 4x2 = 0
4x2 = 0 + 9y2
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}