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Simplifying xy(1 + -1x + -1y) = 0 (1 * xy + -1x * xy + -1y * xy) = 0 Reorder the terms: (1xy + -1xy2 + -1x2y) = 0 (1xy + -1xy2 + -1x2y) = 0 Solving 1xy + -1xy2 + -1x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'xy'. xy(1 + -1y + -1x) = 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 + -1y + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1y + -1x = 0 Reorder the terms: 1 + -1x + -1y = 0 Solving 1 + -1x + -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 + -1 + -1y = 0 + -1 Reorder the terms: 1 + -1 + -1x + -1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x + -1y = 0 + -1 -1x + -1y = 0 + -1 Combine like terms: 0 + -1 = -1 -1x + -1y = -1 Add 'y' to each side of the equation. -1x + -1y + y = -1 + y Combine like terms: -1y + y = 0 -1x + 0 = -1 + y -1x = -1 + y Divide each side by '-1'. x = 1 + -1y Simplifying x = 1 + -1ySolution
x = {1 + -1y}
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