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Simplifying x(xy2 + y) + xy2 = 0 (xy2 * x + y * x) + xy2 = 0 Reorder the terms: (xy + x2y2) + xy2 = 0 (xy + x2y2) + xy2 = 0 Reorder the terms: xy + xy2 + x2y2 = 0 Solving xy + xy2 + x2y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'xy'. xy(1 + y + 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 + xy)' equal to zero and attempt to solve: Simplifying 1 + y + xy = 0 Reorder the terms: 1 + xy + y = 0 Solving 1 + 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 + xy + -1 + y = 0 + -1 Reorder the terms: 1 + -1 + xy + y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + xy + y = 0 + -1 xy + y = 0 + -1 Combine like terms: 0 + -1 = -1 xy + y = -1 Add '-1y' to each side of the equation. xy + y + -1y = -1 + -1y Combine like terms: y + -1y = 0 xy + 0 = -1 + -1y xy = -1 + -1y Divide each side by 'y'. x = -1y-1 + -1 Simplifying x = -1y-1 + -1 Reorder the terms: x = -1 + -1y-1Solution
x = {-1 + -1y-1}
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