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Simplifying 3x2y + 12xy + -6xy2 = 0 Reorder the terms: 12xy + -6xy2 + 3x2y = 0 Solving 12xy + -6xy2 + 3x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3xy'. 3xy(4 + -2y + x) = 0 Ignore the factor 3.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 '(4 + -2y + x)' equal to zero and attempt to solve: Simplifying 4 + -2y + x = 0 Reorder the terms: 4 + x + -2y = 0 Solving 4 + x + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + x + -4 + -2y = 0 + -4 Reorder the terms: 4 + -4 + x + -2y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x + -2y = 0 + -4 x + -2y = 0 + -4 Combine like terms: 0 + -4 = -4 x + -2y = -4 Add '2y' to each side of the equation. x + -2y + 2y = -4 + 2y Combine like terms: -2y + 2y = 0 x + 0 = -4 + 2y x = -4 + 2y Simplifying x = -4 + 2ySolution
x = {-4 + 2y}
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