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Simplifying 6pq2 + 7qr + 5pqr = 0 Reorder the terms: 5pqr + 6pq2 + 7qr = 0 Solving 5pqr + 6pq2 + 7qr = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7qr' to each side of the equation. 5pqr + 6pq2 + 7qr + -7qr = 0 + -7qr Combine like terms: 7qr + -7qr = 0 5pqr + 6pq2 + 0 = 0 + -7qr 5pqr + 6pq2 = 0 + -7qr Remove the zero: 5pqr + 6pq2 = -7qr Combine like terms: -7qr + 7qr = 0 5pqr + 6pq2 + 7qr = 0 Factor out the Greatest Common Factor (GCF), 'q'. q(5pr + 6pq + 7r) = 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 '(5pr + 6pq + 7r)' equal to zero and attempt to solve: Simplifying 5pr + 6pq + 7r = 0 Reorder the terms: 6pq + 5pr + 7r = 0 Solving 6pq + 5pr + 7r = 0 Move all terms containing p to the left, all other terms to the right. Add '-7r' to each side of the equation. 6pq + 5pr + 7r + -7r = 0 + -7r Combine like terms: 7r + -7r = 0 6pq + 5pr + 0 = 0 + -7r 6pq + 5pr = 0 + -7r Remove the zero: 6pq + 5pr = -7r 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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