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

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


Simplifying
x3 + 6x2y2 + 9xy3 = 0

Reorder the terms:
9xy3 + 6x2y2 + x3 = 0

Solving
9xy3 + 6x2y2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(9y3 + 6xy2 + x2) = 0


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 '(9y3 + 6xy2 + x2)' equal to zero and attempt to solve:

Simplifying
9y3 + 6xy2 + x2 = 0

Reorder the terms:
6xy2 + x2 + 9y3 = 0

Solving
6xy2 + x2 + 9y3 = 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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