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Simplifying 3x3y + 9xy2 + 36xy = 0 Reorder the terms: 36xy + 9xy2 + 3x3y = 0 Solving 36xy + 9xy2 + 3x3y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3xy'. 3xy(12 + 3y + x2) = 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 '(12 + 3y + x2)' equal to zero and attempt to solve: Simplifying 12 + 3y + x2 = 0 Reorder the terms: 12 + x2 + 3y = 0 Solving 12 + x2 + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + x2 + -12 + 3y = 0 + -12 Reorder the terms: 12 + -12 + x2 + 3y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + x2 + 3y = 0 + -12 x2 + 3y = 0 + -12 Combine like terms: 0 + -12 = -12 x2 + 3y = -12 Add '-3y' to each side of the equation. x2 + 3y + -3y = -12 + -3y Combine like terms: 3y + -3y = 0 x2 + 0 = -12 + -3y x2 = -12 + -3y Simplifying x2 = -12 + -3y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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