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Simplifying 8p3q + -18pq3 = 0 Reorder the terms: -18pq3 + 8p3q = 0 Solving -18pq3 + 8p3q = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '2pq'. 2pq(-9q2 + 4p2) = 0 Factor a difference between two squares. 2pq((3q + 2p)(-3q + 2p)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'pq' equal to zero and attempt to solve: Simplifying pq = 0 Solving pq = 0 Move all terms containing p to the left, all other terms to the right. Simplifying pq = 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 '(3q + 2p)' equal to zero and attempt to solve: Simplifying 3q + 2p = 0 Reorder the terms: 2p + 3q = 0 Solving 2p + 3q = 0 Move all terms containing p to the left, all other terms to the right. Add '-3q' to each side of the equation. 2p + 3q + -3q = 0 + -3q Combine like terms: 3q + -3q = 0 2p + 0 = 0 + -3q 2p = 0 + -3q Remove the zero: 2p = -3q Divide each side by '2'. p = -1.5q Simplifying p = -1.5qSubproblem 3
Set the factor '(-3q + 2p)' equal to zero and attempt to solve: Simplifying -3q + 2p = 0 Reorder the terms: 2p + -3q = 0 Solving 2p + -3q = 0 Move all terms containing p to the left, all other terms to the right. Add '3q' to each side of the equation. 2p + -3q + 3q = 0 + 3q Combine like terms: -3q + 3q = 0 2p + 0 = 0 + 3q 2p = 0 + 3q Remove the zero: 2p = 3q Divide each side by '2'. p = 1.5q Simplifying p = 1.5qSolution
p = {-1.5q, 1.5q}
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