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Simplifying 16p2 + -72pq + 81q2 = 0 Reorder the terms: -72pq + 16p2 + 81q2 = 0 Solving -72pq + 16p2 + 81q2 = 0 Solving for variable 'p'. Factor a trinomial. (4p + -9q)(4p + -9q) = 0Subproblem 1
Set the factor '(4p + -9q)' equal to zero and attempt to solve: Simplifying 4p + -9q = 0 Solving 4p + -9q = 0 Move all terms containing p to the left, all other terms to the right. Add '9q' to each side of the equation. 4p + -9q + 9q = 0 + 9q Combine like terms: -9q + 9q = 0 4p + 0 = 0 + 9q 4p = 0 + 9q Remove the zero: 4p = 9q Divide each side by '4'. p = 2.25q Simplifying p = 2.25qSubproblem 2
Set the factor '(4p + -9q)' equal to zero and attempt to solve: Simplifying 4p + -9q = 0 Solving 4p + -9q = 0 Move all terms containing p to the left, all other terms to the right. Add '9q' to each side of the equation. 4p + -9q + 9q = 0 + 9q Combine like terms: -9q + 9q = 0 4p + 0 = 0 + 9q 4p = 0 + 9q Remove the zero: 4p = 9q Divide each side by '4'. p = 2.25q Simplifying p = 2.25qSolution
p = {2.25q, 2.25q}
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