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Simplifying 2x2y + 4xy + -2xy2 = 0 Reorder the terms: 4xy + -2xy2 + 2x2y = 0 Solving 4xy + -2xy2 + 2x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2xy'. 2xy(2 + -1y + x) = 0 Ignore the factor 2.Subproblem 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 '(2 + -1y + x)' equal to zero and attempt to solve: Simplifying 2 + -1y + x = 0 Reorder the terms: 2 + x + -1y = 0 Solving 2 + x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + x + -2 + -1y = 0 + -2 Reorder the terms: 2 + -2 + x + -1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x + -1y = 0 + -2 x + -1y = 0 + -2 Combine like terms: 0 + -2 = -2 x + -1y = -2 Add 'y' to each side of the equation. x + -1y + y = -2 + y Combine like terms: -1y + y = 0 x + 0 = -2 + y x = -2 + y Simplifying x = -2 + ySolution
x = {-2 + y}
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