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Simplifying pq + qr + -1pq2r = 0 Reorder the terms: pq + -1pq2r + qr = 0 Solving pq + -1pq2r + qr = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1qr' to each side of the equation. pq + -1pq2r + qr + -1qr = 0 + -1qr Combine like terms: qr + -1qr = 0 pq + -1pq2r + 0 = 0 + -1qr pq + -1pq2r = 0 + -1qr Remove the zero: pq + -1pq2r = -1qr Combine like terms: -1qr + qr = 0 pq + -1pq2r + qr = 0 Factor out the Greatest Common Factor (GCF), 'q'. q(p + -1pqr + r) = 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 '(p + -1pqr + r)' equal to zero and attempt to solve: Simplifying p + -1pqr + r = 0 Solving p + -1pqr + r = 0 Move all terms containing p to the left, all other terms to the right. Add '-1r' to each side of the equation. p + -1pqr + r + -1r = 0 + -1r Combine like terms: r + -1r = 0 p + -1pqr + 0 = 0 + -1r p + -1pqr = 0 + -1r Remove the zero: p + -1pqr = -1r 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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