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

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

Simplifying
(2x)(2x) + -1(3y)(3y) = 0

Remove parenthesis around (2x)
2x(2x) + -1(3y)(3y) = 0

Remove parenthesis around (2x)
2x * 2x + -1(3y)(3y) = 0

Reorder the terms for easier multiplication:
2 * 2x * x + -1(3y)(3y) = 0

Multiply 2 * 2
4x * x + -1(3y)(3y) = 0

Multiply x * x
4x2 + -1(3y)(3y) = 0

Remove parenthesis around (3y)
4x2 + -1 * 3y(3y) = 0

Remove parenthesis around (3y)
4x2 + -1 * 3y * 3y = 0

Reorder the terms for easier multiplication:
4x2 + -1 * 3 * 3y * y = 0

Multiply -1 * 3
4x2 + -3 * 3y * y = 0

Multiply -3 * 3
4x2 + -9y * y = 0

Multiply y * y
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}