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Simplifying 2pq(p2 + 3q) = 0 (p2 * 2pq + 3q * 2pq) = 0 Reorder the terms: (6pq2 + 2p3q) = 0 (6pq2 + 2p3q) = 0 Solving 6pq2 + 2p3q = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '2pq'. 2pq(3q + p2) = 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 + p2)' equal to zero and attempt to solve: Simplifying 3q + p2 = 0 Reorder the terms: p2 + 3q = 0 Solving p2 + 3q = 0 Move all terms containing p to the left, all other terms to the right. Add '-3q' to each side of the equation. p2 + 3q + -3q = 0 + -3q Combine like terms: 3q + -3q = 0 p2 + 0 = 0 + -3q p2 = 0 + -3q Remove the zero: p2 = -3q Simplifying p2 = -3q 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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