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Simplifying 0 = 3x2y + 9xy2 + 6xy3 + 15x5y7 Reorder the terms: 0 = 9xy2 + 6xy3 + 3x2y + 15x5y7 Solving 0 = 9xy2 + 6xy3 + 3x2y + 15x5y7 Solving for variable 'x'. Remove the zero: -9xy2 + -6xy3 + -3x2y + -15x5y7 = 9xy2 + 6xy3 + 3x2y + 15x5y7 + -9xy2 + -6xy3 + -3x2y + -15x5y7 Reorder the terms: -9xy2 + -6xy3 + -3x2y + -15x5y7 = 9xy2 + -9xy2 + 6xy3 + -6xy3 + 3x2y + -3x2y + 15x5y7 + -15x5y7 Combine like terms: 9xy2 + -9xy2 = 0 -9xy2 + -6xy3 + -3x2y + -15x5y7 = 0 + 6xy3 + -6xy3 + 3x2y + -3x2y + 15x5y7 + -15x5y7 -9xy2 + -6xy3 + -3x2y + -15x5y7 = 6xy3 + -6xy3 + 3x2y + -3x2y + 15x5y7 + -15x5y7 Combine like terms: 6xy3 + -6xy3 = 0 -9xy2 + -6xy3 + -3x2y + -15x5y7 = 0 + 3x2y + -3x2y + 15x5y7 + -15x5y7 -9xy2 + -6xy3 + -3x2y + -15x5y7 = 3x2y + -3x2y + 15x5y7 + -15x5y7 Combine like terms: 3x2y + -3x2y = 0 -9xy2 + -6xy3 + -3x2y + -15x5y7 = 0 + 15x5y7 + -15x5y7 -9xy2 + -6xy3 + -3x2y + -15x5y7 = 15x5y7 + -15x5y7 Combine like terms: 15x5y7 + -15x5y7 = 0 -9xy2 + -6xy3 + -3x2y + -15x5y7 = 0 Factor out the Greatest Common Factor (GCF), '-3xy'. -3xy(3y + 2y2 + x + 5x4y6) = 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 '(3y + 2y2 + x + 5x4y6)' equal to zero and attempt to solve: Simplifying 3y + 2y2 + x + 5x4y6 = 0 Reorder the terms: x + 5x4y6 + 3y + 2y2 = 0 Solving x + 5x4y6 + 3y + 2y2 = 0 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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