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Simplifying 16p3q2 = 24p2q Solving 16p3q2 = 24p2q Solving for variable 'p'. Reorder the terms: -24p2q + 16p3q2 = 24p2q + -24p2q Combine like terms: 24p2q + -24p2q = 0 -24p2q + 16p3q2 = 0 Factor out the Greatest Common Factor (GCF), '8p2q'. 8p2q(-3 + 2pq) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'p2q' equal to zero and attempt to solve: Simplifying p2q = 0 Solving p2q = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p2q = 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 '(-3 + 2pq)' equal to zero and attempt to solve: Simplifying -3 + 2pq = 0 Solving -3 + 2pq = 0 Move all terms containing p to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2pq = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2pq = 0 + 3 2pq = 0 + 3 Combine like terms: 0 + 3 = 3 2pq = 3 Divide each side by '2q'. p = 1.5q-1 Simplifying p = 1.5q-1Solution
p = {1.5q-1}
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