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Simplifying 2x2y + 4xy2 + -6xy = 0 Reorder the terms: -6xy + 4xy2 + 2x2y = 0 Solving -6xy + 4xy2 + 2x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2xy'. 2xy(-3 + 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 '(-3 + 2y + x)' equal to zero and attempt to solve: Simplifying -3 + 2y + x = 0 Reorder the terms: -3 + x + 2y = 0 Solving -3 + x + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + x + 3 + 2y = 0 + 3 Reorder the terms: -3 + 3 + x + 2y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x + 2y = 0 + 3 x + 2y = 0 + 3 Combine like terms: 0 + 3 = 3 x + 2y = 3 Add '-2y' to each side of the equation. x + 2y + -2y = 3 + -2y Combine like terms: 2y + -2y = 0 x + 0 = 3 + -2y x = 3 + -2y Simplifying x = 3 + -2ySolution
x = {3 + -2y}
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