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Simplifying 16p2 + -24pq + 9q2 = 0 Reorder the terms: -24pq + 16p2 + 9q2 = 0 Solving -24pq + 16p2 + 9q2 = 0 Solving for variable 'p'. Factor a trinomial. (4p + -3q)(4p + -3q) = 0Subproblem 1
Set the factor '(4p + -3q)' equal to zero and attempt to solve: Simplifying 4p + -3q = 0 Solving 4p + -3q = 0 Move all terms containing p to the left, all other terms to the right. Add '3q' to each side of the equation. 4p + -3q + 3q = 0 + 3q Combine like terms: -3q + 3q = 0 4p + 0 = 0 + 3q 4p = 0 + 3q Remove the zero: 4p = 3q Divide each side by '4'. p = 0.75q Simplifying p = 0.75qSubproblem 2
Set the factor '(4p + -3q)' equal to zero and attempt to solve: Simplifying 4p + -3q = 0 Solving 4p + -3q = 0 Move all terms containing p to the left, all other terms to the right. Add '3q' to each side of the equation. 4p + -3q + 3q = 0 + 3q Combine like terms: -3q + 3q = 0 4p + 0 = 0 + 3q 4p = 0 + 3q Remove the zero: 4p = 3q Divide each side by '4'. p = 0.75q Simplifying p = 0.75qSolution
p = {0.75q, 0.75q}
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