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Simplifying 4p2 + -52pq + -27q2 = 0 Reorder the terms: -52pq + 4p2 + -27q2 = 0 Solving -52pq + 4p2 + -27q2 = 0 Solving for variable 'p'. Factor a trinomial. (2p + -27q)(2p + q) = 0Subproblem 1
Set the factor '(2p + -27q)' equal to zero and attempt to solve: Simplifying 2p + -27q = 0 Solving 2p + -27q = 0 Move all terms containing p to the left, all other terms to the right. Add '27q' to each side of the equation. 2p + -27q + 27q = 0 + 27q Combine like terms: -27q + 27q = 0 2p + 0 = 0 + 27q 2p = 0 + 27q Remove the zero: 2p = 27q Divide each side by '2'. p = 13.5q Simplifying p = 13.5qSubproblem 2
Set the factor '(2p + q)' equal to zero and attempt to solve: Simplifying 2p + q = 0 Solving 2p + q = 0 Move all terms containing p to the left, all other terms to the right. Add '-1q' to each side of the equation. 2p + q + -1q = 0 + -1q Combine like terms: q + -1q = 0 2p + 0 = 0 + -1q 2p = 0 + -1q Remove the zero: 2p = -1q Divide each side by '2'. p = -0.5q Simplifying p = -0.5qSolution
p = {13.5q, -0.5q}
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