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Simplifying x2y + xy2 + -5xy = 0 Reorder the terms: -5xy + xy2 + x2y = 0 Solving -5xy + xy2 + x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'xy'. xy(-5 + y + x) = 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 '(-5 + y + x)' equal to zero and attempt to solve: Simplifying -5 + y + x = 0 Reorder the terms: -5 + x + y = 0 Solving -5 + x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + x + 5 + y = 0 + 5 Reorder the terms: -5 + 5 + x + y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x + y = 0 + 5 x + y = 0 + 5 Combine like terms: 0 + 5 = 5 x + y = 5 Add '-1y' to each side of the equation. x + y + -1y = 5 + -1y Combine like terms: y + -1y = 0 x + 0 = 5 + -1y x = 5 + -1y Simplifying x = 5 + -1ySolution
x = {5 + -1y}
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