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Simplifying (x2 + x)(y2 + -1y) = 0 Reorder the terms: (x + x2)(y2 + -1y) = 0 Reorder the terms: (x + x2)(-1y + y2) = 0 Multiply (x + x2) * (-1y + y2) (x(-1y + y2) + x2(-1y + y2)) = 0 ((-1y * x + y2 * x) + x2(-1y + y2)) = 0 ((-1xy + xy2) + x2(-1y + y2)) = 0 (-1xy + xy2 + (-1y * x2 + y2 * x2)) = 0 (-1xy + xy2 + (-1x2y + x2y2)) = 0 (-1xy + xy2 + -1x2y + x2y2) = 0 Solving -1xy + xy2 + -1x2y + x2y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'xy'. xy(-1 + y + -1x + xy) = 0Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve: Simplifying xy = 0 Solving xy = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy = 0 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 '(-1 + y + -1x + xy)' equal to zero and attempt to solve: Simplifying -1 + y + -1x + xy = 0 Reorder the terms: -1 + -1x + xy + y = 0 Solving -1 + -1x + xy + y = 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 + y = 0 + 1 Reorder the terms: -1 + 1 + -1x + xy + y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x + xy + y = 0 + 1 -1x + xy + y = 0 + 1 Combine like terms: 0 + 1 = 1 -1x + xy + y = 1 Add '-1y' to each side of the equation. -1x + xy + y + -1y = 1 + -1y Combine like terms: y + -1y = 0 -1x + xy + 0 = 1 + -1y -1x + xy = 1 + -1y 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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