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Simplifying 0 = 3x3y + -9xy2 + 36xy Reorder the terms: 0 = 36xy + -9xy2 + 3x3y Solving 0 = 36xy + -9xy2 + 3x3y Solving for variable 'x'. Remove the zero: -36xy + 9xy2 + -3x3y = 36xy + -9xy2 + 3x3y + -36xy + 9xy2 + -3x3y Reorder the terms: -36xy + 9xy2 + -3x3y = 36xy + -36xy + -9xy2 + 9xy2 + 3x3y + -3x3y Combine like terms: 36xy + -36xy = 0 -36xy + 9xy2 + -3x3y = 0 + -9xy2 + 9xy2 + 3x3y + -3x3y -36xy + 9xy2 + -3x3y = -9xy2 + 9xy2 + 3x3y + -3x3y Combine like terms: -9xy2 + 9xy2 = 0 -36xy + 9xy2 + -3x3y = 0 + 3x3y + -3x3y -36xy + 9xy2 + -3x3y = 3x3y + -3x3y Combine like terms: 3x3y + -3x3y = 0 -36xy + 9xy2 + -3x3y = 0 Factor out the Greatest Common Factor (GCF), '3xy'. 3xy(-12 + 3y + -1x2) = 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 + -1x2)' equal to zero and attempt to solve: Simplifying -12 + 3y + -1x2 = 0 Reorder the terms: -12 + -1x2 + 3y = 0 Solving -12 + -1x2 + 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 + -1x2 + 12 + 3y = 0 + 12 Reorder the terms: -12 + 12 + -1x2 + 3y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1x2 + 3y = 0 + 12 -1x2 + 3y = 0 + 12 Combine like terms: 0 + 12 = 12 -1x2 + 3y = 12 Add '-3y' to each side of the equation. -1x2 + 3y + -3y = 12 + -3y Combine like terms: 3y + -3y = 0 -1x2 + 0 = 12 + -3y -1x2 = 12 + -3y Divide each side by '-1'. 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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