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Simplifying 3pq + 9qr + 6pqr = 0 Reorder the terms: 3pq + 6pqr + 9qr = 0 Solving 3pq + 6pqr + 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. 3pq + 6pqr + 9qr + -9qr = 0 + -9qr Combine like terms: 9qr + -9qr = 0 3pq + 6pqr + 0 = 0 + -9qr 3pq + 6pqr = 0 + -9qr Remove the zero: 3pq + 6pqr = -9qr Combine like terms: -9qr + 9qr = 0 3pq + 6pqr + 9qr = 0 Factor out the Greatest Common Factor (GCF), '3q'. 3q(p + 2pr + 3r) = 0 Ignore the factor 3.Subproblem 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 '(p + 2pr + 3r)' equal to zero and attempt to solve: Simplifying p + 2pr + 3r = 0 Solving p + 2pr + 3r = 0 Move all terms containing p to the left, all other terms to the right. Add '-3r' to each side of the equation. p + 2pr + 3r + -3r = 0 + -3r Combine like terms: 3r + -3r = 0 p + 2pr + 0 = 0 + -3r p + 2pr = 0 + -3r Remove the zero: p + 2pr = -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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