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Simplifying 6x2y + -12xy2 + 18xy = 0 Reorder the terms: 18xy + -12xy2 + 6x2y = 0 Solving 18xy + -12xy2 + 6x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6xy'. 6xy(3 + -2y + x) = 0 Ignore the factor 6.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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