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Simplifying 4pq2 + 3qr + 5pqr = 0 Reorder the terms: 5pqr + 4pq2 + 3qr = 0 Solving 5pqr + 4pq2 + 3qr = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3qr' to each side of the equation. 5pqr + 4pq2 + 3qr + -3qr = 0 + -3qr Combine like terms: 3qr + -3qr = 0 5pqr + 4pq2 + 0 = 0 + -3qr 5pqr + 4pq2 = 0 + -3qr Remove the zero: 5pqr + 4pq2 = -3qr Combine like terms: -3qr + 3qr = 0 5pqr + 4pq2 + 3qr = 0 Factor out the Greatest Common Factor (GCF), 'q'. q(5pr + 4pq + 3r) = 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 + 4pq + 3r)' equal to zero and attempt to solve: Simplifying 5pr + 4pq + 3r = 0 Reorder the terms: 4pq + 5pr + 3r = 0 Solving 4pq + 5pr + 3r = 0 Move all terms containing p to the left, all other terms to the right. Add '-3r' to each side of the equation. 4pq + 5pr + 3r + -3r = 0 + -3r Combine like terms: 3r + -3r = 0 4pq + 5pr + 0 = 0 + -3r 4pq + 5pr = 0 + -3r Remove the zero: 4pq + 5pr = -3r 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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