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Simplifying 5pqr(pq + -1qr) = 0 (pq * 5pqr + -1qr * 5pqr) = 0 Reorder the terms: (-5pq2r2 + 5p2q2r) = 0 (-5pq2r2 + 5p2q2r) = 0 Solving -5pq2r2 + 5p2q2r = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '5pq2r'. 5pq2r(-1r + p) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'pq2r' equal to zero and attempt to solve: Simplifying pq2r = 0 Solving pq2r = 0 Move all terms containing p to the left, all other terms to the right. Simplifying pq2r = 0 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 '(-1r + p)' equal to zero and attempt to solve: Simplifying -1r + p = 0 Reorder the terms: p + -1r = 0 Solving p + -1r = 0 Move all terms containing p to the left, all other terms to the right. Add 'r' to each side of the equation. p + -1r + r = 0 + r Combine like terms: -1r + r = 0 p + 0 = 0 + r p = 0 + r Remove the zero: p = r Simplifying p = rSolution
p = {r}
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