0=3x^4y^3+12x^3y-18x^2y^2

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Solution for 0=3x^4y^3+12x^3y-18x^2y^2 equation: 


Simplifying
0 = 3x4y3 + 12x3y + -18x2y2

Reorder the terms:
0 = -18x2y2 + 12x3y + 3x4y3

Solving
0 = -18x2y2 + 12x3y + 3x4y3

Solving for variable 'x'.
Remove the zero:
18x2y2 + -12x3y + -3x4y3 = -18x2y2 + 12x3y + 3x4y3 + 18x2y2 + -12x3y + -3x4y3

Reorder the terms:
18x2y2 + -12x3y + -3x4y3 = -18x2y2 + 18x2y2 + 12x3y + -12x3y + 3x4y3 + -3x4y3

Combine like terms: -18x2y2 + 18x2y2 = 0
18x2y2 + -12x3y + -3x4y3 = 0 + 12x3y + -12x3y + 3x4y3 + -3x4y3
18x2y2 + -12x3y + -3x4y3 = 12x3y + -12x3y + 3x4y3 + -3x4y3

Combine like terms: 12x3y + -12x3y = 0
18x2y2 + -12x3y + -3x4y3 = 0 + 3x4y3 + -3x4y3
18x2y2 + -12x3y + -3x4y3 = 3x4y3 + -3x4y3

Combine like terms: 3x4y3 + -3x4y3 = 0
18x2y2 + -12x3y + -3x4y3 = 0

Factor out the Greatest Common Factor (GCF), '3x2y'.
3x2y(6y + -4x + -1x2y2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'x2y' equal to zero and attempt to solve:

Simplifying
x2y = 0

Solving
x2y = 0

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

Simplifying
x2y = 0

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 '(6y + -4x + -1x2y2)' equal to zero and attempt to solve:

Simplifying
6y + -4x + -1x2y2 = 0

Reorder the terms:
-4x + -1x2y2 + 6y = 0

Solving
-4x + -1x2y2 + 6y = 0

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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