3x^2y^2+6x^2+12y^2+24=0

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Solution for 3x^2y^2+6x^2+12y^2+24=0 equation: 


Simplifying
3x2y2 + 6x2 + 12y2 + 24 = 0

Reorder the terms:
24 + 6x2 + 3x2y2 + 12y2 = 0

Solving
24 + 6x2 + 3x2y2 + 12y2 = 0

Solving for variable 'x'.

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

Add '-24' to each side of the equation.
24 + 6x2 + 3x2y2 + -24 + 12y2 = 0 + -24

Reorder the terms:
24 + -24 + 6x2 + 3x2y2 + 12y2 = 0 + -24

Combine like terms: 24 + -24 = 0
0 + 6x2 + 3x2y2 + 12y2 = 0 + -24
6x2 + 3x2y2 + 12y2 = 0 + -24

Combine like terms: 0 + -24 = -24
6x2 + 3x2y2 + 12y2 = -24

Add '-12y2' to each side of the equation.
6x2 + 3x2y2 + 12y2 + -12y2 = -24 + -12y2

Combine like terms: 12y2 + -12y2 = 0
6x2 + 3x2y2 + 0 = -24 + -12y2
6x2 + 3x2y2 = -24 + -12y2

Reorder the terms:
24 + 6x2 + 3x2y2 + 12y2 = -24 + -12y2 + 24 + 12y2

Reorder the terms:
24 + 6x2 + 3x2y2 + 12y2 = -24 + 24 + -12y2 + 12y2

Combine like terms: -24 + 24 = 0
24 + 6x2 + 3x2y2 + 12y2 = 0 + -12y2 + 12y2
24 + 6x2 + 3x2y2 + 12y2 = -12y2 + 12y2

Combine like terms: -12y2 + 12y2 = 0
24 + 6x2 + 3x2y2 + 12y2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(8 + 2x2 + x2y2 + 4y2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(8 + 2x2 + x2y2 + 4y2)' equal to zero and attempt to solve:

Simplifying
8 + 2x2 + x2y2 + 4y2 = 0

Solving
8 + 2x2 + x2y2 + 4y2 = 0

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

Add '-8' to each side of the equation.
8 + 2x2 + x2y2 + -8 + 4y2 = 0 + -8

Reorder the terms:
8 + -8 + 2x2 + x2y2 + 4y2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 2x2 + x2y2 + 4y2 = 0 + -8
2x2 + x2y2 + 4y2 = 0 + -8

Combine like terms: 0 + -8 = -8
2x2 + x2y2 + 4y2 = -8

Add '-4y2' to each side of the equation.
2x2 + x2y2 + 4y2 + -4y2 = -8 + -4y2

Combine like terms: 4y2 + -4y2 = 0
2x2 + x2y2 + 0 = -8 + -4y2
2x2 + x2y2 = -8 + -4y2

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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