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Simplifying 8pq2 + 9qr + 7pqr = 0 Reorder the terms: 7pqr + 8pq2 + 9qr = 0 Solving 7pqr + 8pq2 + 9qr = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9qr' to each side of the equation. 7pqr + 8pq2 + 9qr + -9qr = 0 + -9qr Combine like terms: 9qr + -9qr = 0 7pqr + 8pq2 + 0 = 0 + -9qr 7pqr + 8pq2 = 0 + -9qr Remove the zero: 7pqr + 8pq2 = -9qr Combine like terms: -9qr + 9qr = 0 7pqr + 8pq2 + 9qr = 0 Factor out the Greatest Common Factor (GCF), 'q'. q(7pr + 8pq + 9r) = 0Subproblem 1
Set the factor 'q' equal to zero and attempt to solve: Simplifying q = 0 Solving q = 0 Move all terms containing p to the left, all other terms to the right. Add '-1q' to each side of the equation. q + -1q = 0 + -1q Remove the zero: 0 = -1q Simplifying 0 = -1q 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 '(7pr + 8pq + 9r)' equal to zero and attempt to solve: Simplifying 7pr + 8pq + 9r = 0 Reorder the terms: 8pq + 7pr + 9r = 0 Solving 8pq + 7pr + 9r = 0 Move all terms containing p to the left, all other terms to the right. Add '-9r' to each side of the equation. 8pq + 7pr + 9r + -9r = 0 + -9r Combine like terms: 9r + -9r = 0 8pq + 7pr + 0 = 0 + -9r 8pq + 7pr = 0 + -9r Remove the zero: 8pq + 7pr = -9r 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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