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Simplifying x = xy + -1xy2 Solving x = xy + -1xy2 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. x + -1xy = xy + -1xy + -1xy2 Combine like terms: xy + -1xy = 0 x + -1xy = 0 + -1xy2 x + -1xy = -1xy2 Add 'xy2' to each side of the equation. x + -1xy + xy2 = -1xy2 + xy2 Combine like terms: -1xy2 + xy2 = 0 x + -1xy + xy2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(1 + -1y + y2) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(1 + -1y + y2)' equal to zero and attempt to solve: Simplifying 1 + -1y + y2 = 0 Solving 1 + -1y + y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1y + -1 + y2 = 0 + -1 Reorder the terms: 1 + -1 + -1y + y2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1y + y2 = 0 + -1 -1y + y2 = 0 + -1 Combine like terms: 0 + -1 = -1 -1y + y2 = -1 Add 'y' to each side of the equation. -1y + y + y2 = -1 + y Combine like terms: -1y + y = 0 0 + y2 = -1 + y y2 = -1 + y Add '-1y2' to each side of the equation. y2 + -1y2 = -1 + y + -1y2 Combine like terms: y2 + -1y2 = 0 0 = -1 + y + -1y2 Simplifying 0 = -1 + y + -1y2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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