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Simplifying xy2 + 2y2 + -1xy + -2y = 0 Reorder the terms: -1xy + xy2 + -2y + 2y2 = 0 Solving -1xy + xy2 + -2y + 2y2 = 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. -1xy + xy2 + -2y + 2y + 2y2 = 0 + 2y Combine like terms: -2y + 2y = 0 -1xy + xy2 + 0 + 2y2 = 0 + 2y -1xy + xy2 + 2y2 = 0 + 2y Remove the zero: -1xy + xy2 + 2y2 = 2y Add '-2y2' to each side of the equation. -1xy + xy2 + 2y2 + -2y2 = 2y + -2y2 Combine like terms: 2y2 + -2y2 = 0 -1xy + xy2 + 0 = 2y + -2y2 -1xy + xy2 = 2y + -2y2 Reorder the terms: -1xy + xy2 + -2y + 2y2 = 2y + -2y + -2y2 + 2y2 Combine like terms: 2y + -2y = 0 -1xy + xy2 + -2y + 2y2 = 0 + -2y2 + 2y2 -1xy + xy2 + -2y + 2y2 = -2y2 + 2y2 Combine like terms: -2y2 + 2y2 = 0 -1xy + xy2 + -2y + 2y2 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(-1x + xy + -2 + 2y) = 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 + -2 + 2y)' equal to zero and attempt to solve: Simplifying -1x + xy + -2 + 2y = 0 Reorder the terms: -2 + -1x + xy + 2y = 0 Solving -2 + -1x + xy + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -1x + xy + 2 + 2y = 0 + 2 Reorder the terms: -2 + 2 + -1x + xy + 2y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x + xy + 2y = 0 + 2 -1x + xy + 2y = 0 + 2 Combine like terms: 0 + 2 = 2 -1x + xy + 2y = 2 Add '-2y' to each side of the equation. -1x + xy + 2y + -2y = 2 + -2y Combine like terms: 2y + -2y = 0 -1x + xy + 0 = 2 + -2y -1x + xy = 2 + -2y 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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