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Simplifying 3x2y + 9xy2 + 6xy = 0 Reorder the terms: 6xy + 9xy2 + 3x2y = 0 Solving 6xy + 9xy2 + 3x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3xy'. 3xy(2 + 3y + 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 '(2 + 3y + x)' equal to zero and attempt to solve: Simplifying 2 + 3y + x = 0 Reorder the terms: 2 + x + 3y = 0 Solving 2 + x + 3y = 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 + 3y = 0 + -2 Reorder the terms: 2 + -2 + x + 3y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x + 3y = 0 + -2 x + 3y = 0 + -2 Combine like terms: 0 + -2 = -2 x + 3y = -2 Add '-3y' to each side of the equation. x + 3y + -3y = -2 + -3y Combine like terms: 3y + -3y = 0 x + 0 = -2 + -3y x = -2 + -3y Simplifying x = -2 + -3ySolution
x = {-2 + -3y}
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