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