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

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


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

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

Solving
-4xy + 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.
-4xy + 2xy2 + 4y + -4y + -2y2 = 0 + -4y

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

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

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

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

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

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

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

Ignore the factor 2.

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 '(-2x + xy + 2 + -1y)' equal to zero and attempt to solve: Simplifying -2x + xy + 2 + -1y = 0 Reorder the terms: 2 + -2x + xy + -1y = 0 Solving 2 + -2x + xy + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2x + xy + -2 + -1y = 0 + -2 Reorder the terms: 2 + -2 + -2x + xy + -1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -2x + xy + -1y = 0 + -2 -2x + xy + -1y = 0 + -2 Combine like terms: 0 + -2 = -2 -2x + xy + -1y = -2 Add 'y' to each side of the equation. -2x + xy + -1y + y = -2 + y Combine like terms: -1y + y = 0 -2x + xy + 0 = -2 + y -2x + xy = -2 + y 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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