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Simplifying 5pq2 + 4qr + 6pqr = 0 Reorder the terms: 6pqr + 5pq2 + 4qr = 0 Solving 6pqr + 5pq2 + 4qr = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4qr' to each side of the equation. 6pqr + 5pq2 + 4qr + -4qr = 0 + -4qr Combine like terms: 4qr + -4qr = 0 6pqr + 5pq2 + 0 = 0 + -4qr 6pqr + 5pq2 = 0 + -4qr Remove the zero: 6pqr + 5pq2 = -4qr Combine like terms: -4qr + 4qr = 0 6pqr + 5pq2 + 4qr = 0 Factor out the Greatest Common Factor (GCF), 'q'. q(6pr + 5pq + 4r) = 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 '(6pr + 5pq + 4r)' equal to zero and attempt to solve: Simplifying 6pr + 5pq + 4r = 0 Reorder the terms: 5pq + 6pr + 4r = 0 Solving 5pq + 6pr + 4r = 0 Move all terms containing p to the left, all other terms to the right. Add '-4r' to each side of the equation. 5pq + 6pr + 4r + -4r = 0 + -4r Combine like terms: 4r + -4r = 0 5pq + 6pr + 0 = 0 + -4r 5pq + 6pr = 0 + -4r Remove the zero: 5pq + 6pr = -4r 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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