10x^3-25x^2y^2+10xy^3=0

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Solution for 10x^3-25x^2y^2+10xy^3=0 equation: 


Simplifying
10x3 + -25x2y2 + 10xy3 = 0

Reorder the terms:
10xy3 + -25x2y2 + 10x3 = 0

Solving
10xy3 + -25x2y2 + 10x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(2y3 + -5xy2 + 2x2) = 0

Ignore the factor 5.

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 '(2y3 + -5xy2 + 2x2)' equal to zero and attempt to solve:

Simplifying
2y3 + -5xy2 + 2x2 = 0

Reorder the terms:
-5xy2 + 2x2 + 2y3 = 0

Solving
-5xy2 + 2x2 + 2y3 = 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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