=X^2y-5xy^3+4x^3y^2+y^4

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


Simplifying
0 = X2y + -5xy3 + 4x3y2 + y4

Reorder the terms:
0 = -5xy3 + 4x3y2 + yX2 + y4

Solving
0 = -5xy3 + 4x3y2 + yX2 + y4

Solving for variable 'x'.
Remove the zero:
5xy3 + -4x3y2 + -1yX2 + -1y4 = -5xy3 + 4x3y2 + yX2 + y4 + 5xy3 + -4x3y2 + -1yX2 + -1y4

Reorder the terms:
5xy3 + -4x3y2 + -1yX2 + -1y4 = -5xy3 + 5xy3 + 4x3y2 + -4x3y2 + yX2 + -1yX2 + y4 + -1y4

Combine like terms: -5xy3 + 5xy3 = 0
5xy3 + -4x3y2 + -1yX2 + -1y4 = 0 + 4x3y2 + -4x3y2 + yX2 + -1yX2 + y4 + -1y4
5xy3 + -4x3y2 + -1yX2 + -1y4 = 4x3y2 + -4x3y2 + yX2 + -1yX2 + y4 + -1y4

Combine like terms: 4x3y2 + -4x3y2 = 0
5xy3 + -4x3y2 + -1yX2 + -1y4 = 0 + yX2 + -1yX2 + y4 + -1y4
5xy3 + -4x3y2 + -1yX2 + -1y4 = yX2 + -1yX2 + y4 + -1y4

Combine like terms: yX2 + -1yX2 = 0
5xy3 + -4x3y2 + -1yX2 + -1y4 = 0 + y4 + -1y4
5xy3 + -4x3y2 + -1yX2 + -1y4 = y4 + -1y4

Combine like terms: y4 + -1y4 = 0
5xy3 + -4x3y2 + -1yX2 + -1y4 = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(5xy2 + -4x3y + -1X2 + -1y3) = 0


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

Simplifying
y = 0

Solving
y = 0

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

Add '-1y' to each side of the equation.
y + -1y = 0 + -1y
Remove the zero:
0 = -1y

Simplifying
0 = -1y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(5xy2 + -4x3y + -1X2 + -1y3)' equal to zero and attempt to solve:

Simplifying
5xy2 + -4x3y + -1X2 + -1y3 = 0

Reorder the terms:
-1X2 + 5xy2 + -4x3y + -1y3 = 0

Solving
-1X2 + 5xy2 + -4x3y + -1y3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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