4x+2y^2-2xy^2-4y=0

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


Simplifying
4x + 2y2 + -2xy2 + -4y = 0

Reorder the terms:
4x + -2xy2 + -4y + 2y2 = 0

Solving
4x + -2xy2 + -4y + 2y2 = 0

Solving for variable 'x'.

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

Add '4y' to each side of the equation.
4x + -2xy2 + -4y + 4y + 2y2 = 0 + 4y

Combine like terms: -4y + 4y = 0
4x + -2xy2 + 0 + 2y2 = 0 + 4y
4x + -2xy2 + 2y2 = 0 + 4y
Remove the zero:
4x + -2xy2 + 2y2 = 4y

Add '-2y2' to each side of the equation.
4x + -2xy2 + 2y2 + -2y2 = 4y + -2y2

Combine like terms: 2y2 + -2y2 = 0
4x + -2xy2 + 0 = 4y + -2y2
4x + -2xy2 = 4y + -2y2

Reorder the terms:
4x + -2xy2 + -4y + 2y2 = 4y + -4y + -2y2 + 2y2

Combine like terms: 4y + -4y = 0
4x + -2xy2 + -4y + 2y2 = 0 + -2y2 + 2y2
4x + -2xy2 + -4y + 2y2 = -2y2 + 2y2

Combine like terms: -2y2 + 2y2 = 0
4x + -2xy2 + -4y + 2y2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(2x + -1xy2 + -2y + y2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(2x + -1xy2 + -2y + y2)' equal to zero and attempt to solve:

Simplifying
2x + -1xy2 + -2y + y2 = 0

Solving
2x + -1xy2 + -2y + y2 = 0

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

Add '2y' to each side of the equation.
2x + -1xy2 + -2y + 2y + y2 = 0 + 2y

Combine like terms: -2y + 2y = 0
2x + -1xy2 + 0 + y2 = 0 + 2y
2x + -1xy2 + y2 = 0 + 2y
Remove the zero:
2x + -1xy2 + y2 = 2y

Add '-1y2' to each side of the equation.
2x + -1xy2 + y2 + -1y2 = 2y + -1y2

Combine like terms: y2 + -1y2 = 0
2x + -1xy2 + 0 = 2y + -1y2
2x + -1xy2 = 2y + -1y2

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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