3x^2y-9xy^3+6x^3=0

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Solution for 3x^2y-9xy^3+6x^3=0 equation: 


Simplifying
3x2y + -9xy3 + 6x3 = 0

Reorder the terms:
-9xy3 + 3x2y + 6x3 = 0

Solving
-9xy3 + 3x2y + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-3y3 + xy + 2x2) = 0

Ignore the factor 3.

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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-3y3 + xy + 2x2)' equal to zero and attempt to solve:

Simplifying
-3y3 + xy + 2x2 = 0

Reorder the terms:
xy + 2x2 + -3y3 = 0

Solving
xy + 2x2 + -3y3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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