4x^3y+5x^2y^2+x^4+2xy^3=0

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Solution for 4x^3y+5x^2y^2+x^4+2xy^3=0 equation: 


Simplifying
4x3y + 5x2y2 + x4 + 2xy3 = 0

Reorder the terms:
2xy3 + 5x2y2 + 4x3y + x4 = 0

Solving
2xy3 + 5x2y2 + 4x3y + x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(2y3 + 5xy2 + 4x2y + x3) = 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 '(2y3 + 5xy2 + 4x2y + x3)' equal to zero and attempt to solve:

Simplifying
2y3 + 5xy2 + 4x2y + x3 = 0

Reorder the terms:
5xy2 + 4x2y + x3 + 2y3 = 0

Solving
5xy2 + 4x2y + x3 + 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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