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Simplifying 3pq2 + 2qr + 4pqr = 0 Reorder the terms: 4pqr + 3pq2 + 2qr = 0 Solving 4pqr + 3pq2 + 2qr = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2qr' to each side of the equation. 4pqr + 3pq2 + 2qr + -2qr = 0 + -2qr Combine like terms: 2qr + -2qr = 0 4pqr + 3pq2 + 0 = 0 + -2qr 4pqr + 3pq2 = 0 + -2qr Remove the zero: 4pqr + 3pq2 = -2qr Combine like terms: -2qr + 2qr = 0 4pqr + 3pq2 + 2qr = 0 Factor out the Greatest Common Factor (GCF), 'q'. q(4pr + 3pq + 2r) = 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 '(4pr + 3pq + 2r)' equal to zero and attempt to solve: Simplifying 4pr + 3pq + 2r = 0 Reorder the terms: 3pq + 4pr + 2r = 0 Solving 3pq + 4pr + 2r = 0 Move all terms containing p to the left, all other terms to the right. Add '-2r' to each side of the equation. 3pq + 4pr + 2r + -2r = 0 + -2r Combine like terms: 2r + -2r = 0 3pq + 4pr + 0 = 0 + -2r 3pq + 4pr = 0 + -2r Remove the zero: 3pq + 4pr = -2r 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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