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

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


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

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

Reorder the terms:
((9x2y + 9x4) + 3y * (3x2 + 3y)) = 0
((9x2y + 9x4) + 3y * (3x2 + 3y)) = 0
(9x2y + 9x4 + (3x2 * 3y + 3y * 3y)) = 0
(9x2y + 9x4 + (9x2y + 9y2)) = 0

Reorder the terms:
(9x2y + 9x2y + 9x4 + 9y2) = 0

Combine like terms: 9x2y + 9x2y = 18x2y
(18x2y + 9x4 + 9y2) = 0

Solving
18x2y + 9x4 + 9y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9'.
9(2x2y + x4 + y2) = 0

Factor a trinomial.
9((x2 + y)(x2 + y)) = 0

Ignore the factor 9.

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

Simplifying
x2 + y = 0

Solving
x2 + y = 0

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

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

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

Simplifying
x2 = -1y

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 '(x2 + y)' equal to zero and attempt to solve:

Simplifying
x2 + y = 0

Solving
x2 + y = 0

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

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

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

Simplifying
x2 = -1y

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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