4y^4+12x^2y^2+9x^4=0

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Solution for 4y^4+12x^2y^2+9x^4=0 equation: 


Simplifying
4y4 + 12x2y2 + 9x4 = 0

Reorder the terms:
12x2y2 + 9x4 + 4y4 = 0

Solving
12x2y2 + 9x4 + 4y4 = 0

Solving for variable 'x'.

Factor a trinomial.
(3x2 + 2y2)(3x2 + 2y2) = 0


Subproblem 1
Set the factor '(3x2 + 2y2)' equal to zero and attempt to solve:

Simplifying
3x2 + 2y2 = 0

Solving
3x2 + 2y2 = 0

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

Add '-2y2' to each side of the equation.
3x2 + 2y2 + -2y2 = 0 + -2y2

Combine like terms: 2y2 + -2y2 = 0
3x2 + 0 = 0 + -2y2
3x2 = 0 + -2y2
Remove the zero:
3x2 = -2y2

Divide each side by '3'.
x2 = -0.6666666667y2

Simplifying
x2 = -0.6666666667y2

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 '(3x2 + 2y2)' equal to zero and attempt to solve:

Simplifying
3x2 + 2y2 = 0

Solving
3x2 + 2y2 = 0

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

Add '-2y2' to each side of the equation.
3x2 + 2y2 + -2y2 = 0 + -2y2

Combine like terms: 2y2 + -2y2 = 0
3x2 + 0 = 0 + -2y2
3x2 = 0 + -2y2
Remove the zero:
3x2 = -2y2

Divide each side by '3'.
x2 = -0.6666666667y2

Simplifying
x2 = -0.6666666667y2

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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