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Simplifying 4p4q5 = 8p3q2 Solving 4p4q5 = 8p3q2 Solving for variable 'p'. Reorder the terms: -8p3q2 + 4p4q5 = 8p3q2 + -8p3q2 Combine like terms: 8p3q2 + -8p3q2 = 0 -8p3q2 + 4p4q5 = 0 Factor out the Greatest Common Factor (GCF), '4p3q2'. 4p3q2(-2 + pq3) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'p3q2' equal to zero and attempt to solve: Simplifying p3q2 = 0 Solving p3q2 = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p3q2 = 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 '(-2 + pq3)' equal to zero and attempt to solve: Simplifying -2 + pq3 = 0 Solving -2 + pq3 = 0 Move all terms containing p to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + pq3 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + pq3 = 0 + 2 pq3 = 0 + 2 Combine like terms: 0 + 2 = 2 pq3 = 2 Divide each side by 'q3'. p = 2q-3 Simplifying p = 2q-3Solution
p = {2q-3}
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