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Simplifying 6xy + -4xy2 + 2x2y + -8xy = 0 Reorder the terms: 6xy + -8xy + -4xy2 + 2x2y = 0 Combine like terms: 6xy + -8xy = -2xy -2xy + -4xy2 + 2x2y = 0 Solving -2xy + -4xy2 + 2x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2xy'. 2xy(-1 + -2y + 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 '(-1 + -2y + x)' equal to zero and attempt to solve: Simplifying -1 + -2y + x = 0 Reorder the terms: -1 + x + -2y = 0 Solving -1 + x + -2y = 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 + -2y = 0 + 1 Reorder the terms: -1 + 1 + x + -2y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x + -2y = 0 + 1 x + -2y = 0 + 1 Combine like terms: 0 + 1 = 1 x + -2y = 1 Add '2y' to each side of the equation. x + -2y + 2y = 1 + 2y Combine like terms: -2y + 2y = 0 x + 0 = 1 + 2y x = 1 + 2y Simplifying x = 1 + 2ySolution
x = {1 + 2y}
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