2x+2y(xy-1)=0

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Solution for 2x+2y(xy-1)=0 equation:


Simplifying
2x + 2y(xy + -1) = 0

Reorder the terms:
2x + 2y(-1 + xy) = 0
2x + (-1 * 2y + xy * 2y) = 0

Reorder the terms:
2x + (2xy2 + -2y) = 0
2x + (2xy2 + -2y) = 0

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

Solving for variable 'x'.

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

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

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

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

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

Ignore the factor 2.

Subproblem 1

Set the factor '(x + xy2 + -1y)' equal to zero and attempt to solve: Simplifying x + xy2 + -1y = 0 Solving x + xy2 + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. x + xy2 + -1y + y = 0 + y Combine like terms: -1y + y = 0 x + xy2 + 0 = 0 + y x + xy2 = 0 + y Remove the zero: x + xy2 = 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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