20x^4y+10x^3-5x^2y=0

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Solution for 20x^4y+10x^3-5x^2y=0 equation: 


Simplifying
20x4y + 10x3 + -5x2y = 0

Reorder the terms:
-5x2y + 10x3 + 20x4y = 0

Solving
-5x2y + 10x3 + 20x4y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x2'.
5x2(-1y + 2x + 4x2y) = 0

Ignore the factor 5.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(-1y + 2x + 4x2y)' equal to zero and attempt to solve:

Simplifying
-1y + 2x + 4x2y = 0

Reorder the terms:
2x + 4x2y + -1y = 0

Solving
2x + 4x2y + -1y = 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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