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Simplifying xy2 + -1y2 + -1xy + y = 0 Reorder the terms: -1xy + xy2 + y + -1y2 = 0 Solving -1xy + xy2 + y + -1y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. -1xy + xy2 + y + -1y + -1y2 = 0 + -1y Combine like terms: y + -1y = 0 -1xy + xy2 + 0 + -1y2 = 0 + -1y -1xy + xy2 + -1y2 = 0 + -1y Remove the zero: -1xy + xy2 + -1y2 = -1y Add 'y2' to each side of the equation. -1xy + xy2 + -1y2 + y2 = -1y + y2 Combine like terms: -1y2 + y2 = 0 -1xy + xy2 + 0 = -1y + y2 -1xy + xy2 = -1y + y2 Reorder the terms: -1xy + xy2 + y + -1y2 = -1y + y + y2 + -1y2 Combine like terms: -1y + y = 0 -1xy + xy2 + y + -1y2 = 0 + y2 + -1y2 -1xy + xy2 + y + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -1xy + xy2 + y + -1y2 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(-1x + xy + 1 + -1y) = 0Subproblem 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 '(-1x + xy + 1 + -1y)' equal to zero and attempt to solve: Simplifying -1x + xy + 1 + -1y = 0 Reorder the terms: 1 + -1x + xy + -1y = 0 Solving 1 + -1x + xy + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1x + xy + -1 + -1y = 0 + -1 Reorder the terms: 1 + -1 + -1x + xy + -1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x + xy + -1y = 0 + -1 -1x + xy + -1y = 0 + -1 Combine like terms: 0 + -1 = -1 -1x + xy + -1y = -1 Add 'y' to each side of the equation. -1x + xy + -1y + y = -1 + y Combine like terms: -1y + y = 0 -1x + xy + 0 = -1 + y -1x + xy = -1 + 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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