2x^3-6x^2y+8xy^3=0

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Solution for 2x^3-6x^2y+8xy^3=0 equation: 


Simplifying
2x3 + -6x2y + 8xy3 = 0

Reorder the terms:
8xy3 + -6x2y + 2x3 = 0

Solving
8xy3 + -6x2y + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(4y3 + -3xy + x2) = 0

Ignore the factor 2.

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 '(4y3 + -3xy + x2)' equal to zero and attempt to solve:

Simplifying
4y3 + -3xy + x2 = 0

Reorder the terms:
-3xy + x2 + 4y3 = 0

Solving
-3xy + x2 + 4y3 = 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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