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Simplifying x3y + x2y + x2y2 = 0 Reorder the terms: x2y + x2y2 + x3y = 0 Solving x2y + x2y2 + x3y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2y'. x2y(1 + y + x) = 0Subproblem 1
Set the factor 'x2y' equal to zero and attempt to solve: Simplifying x2y = 0 Solving x2y = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y = 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 + x)' equal to zero and attempt to solve: Simplifying 1 + y + x = 0 Reorder the terms: 1 + x + y = 0 Solving 1 + x + 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 + x + -1 + y = 0 + -1 Reorder the terms: 1 + -1 + x + y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x + y = 0 + -1 x + y = 0 + -1 Combine like terms: 0 + -1 = -1 x + y = -1 Add '-1y' to each side of the equation. x + y + -1y = -1 + -1y Combine like terms: y + -1y = 0 x + 0 = -1 + -1y x = -1 + -1y Simplifying x = -1 + -1ySolution
x = {-1 + -1y}
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