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