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

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


Simplifying
(2x2 + 3y)(2x2 + -2y) = 0

Multiply (2x2 + 3y) * (2x2 + -2y)
(2x2 * (2x2 + -2y) + 3y * (2x2 + -2y)) = 0
((2x2 * 2x2 + -2y * 2x2) + 3y * (2x2 + -2y)) = 0

Reorder the terms:
((-4x2y + 4x4) + 3y * (2x2 + -2y)) = 0
((-4x2y + 4x4) + 3y * (2x2 + -2y)) = 0
(-4x2y + 4x4 + (2x2 * 3y + -2y * 3y)) = 0
(-4x2y + 4x4 + (6x2y + -6y2)) = 0

Reorder the terms:
(-4x2y + 6x2y + 4x4 + -6y2) = 0

Combine like terms: -4x2y + 6x2y = 2x2y
(2x2y + 4x4 + -6y2) = 0

Solving
2x2y + 4x4 + -6y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(x2y + 2x4 + -3y2) = 0

Factor a trinomial.
2((x2 + -1y)(2x2 + 3y)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(x2 + -1y)' equal to zero and attempt to solve:

Simplifying
x2 + -1y = 0

Solving
x2 + -1y = 0

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

Add 'y' to each side of the equation.
x2 + -1y + y = 0 + y

Combine like terms: -1y + y = 0
x2 + 0 = 0 + y
x2 = 0 + y
Remove the zero:
x2 = y

Simplifying
x2 = y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(2x2 + 3y)' equal to zero and attempt to solve:

Simplifying
2x2 + 3y = 0

Solving
2x2 + 3y = 0

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

Add '-3y' to each side of the equation.
2x2 + 3y + -3y = 0 + -3y

Combine like terms: 3y + -3y = 0
2x2 + 0 = 0 + -3y
2x2 = 0 + -3y
Remove the zero:
2x2 = -3y

Divide each side by '2'.
x2 = -1.5y

Simplifying
x2 = -1.5y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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