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Simplifying 4p2 + 12pq + 9q2 = 0 Reorder the terms: 12pq + 4p2 + 9q2 = 0 Solving 12pq + 4p2 + 9q2 = 0 Solving for variable 'p'. Factor a trinomial. (2p + 3q)(2p + 3q) = 0Subproblem 1
Set the factor '(2p + 3q)' equal to zero and attempt to solve: Simplifying 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 2
Set the factor '(2p + 3q)' equal to zero and attempt to solve: Simplifying 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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