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Simplifying 121p2 + 16q2 + -88pq = 0 Reorder the terms: -88pq + 121p2 + 16q2 = 0 Solving -88pq + 121p2 + 16q2 = 0 Solving for variable 'p'. Factor a trinomial. (11p + -4q)(11p + -4q) = 0Subproblem 1
Set the factor '(11p + -4q)' equal to zero and attempt to solve: Simplifying 11p + -4q = 0 Solving 11p + -4q = 0 Move all terms containing p to the left, all other terms to the right. Add '4q' to each side of the equation. 11p + -4q + 4q = 0 + 4q Combine like terms: -4q + 4q = 0 11p + 0 = 0 + 4q 11p = 0 + 4q Remove the zero: 11p = 4q Divide each side by '11'. p = 0.3636363636q Simplifying p = 0.3636363636qSubproblem 2
Set the factor '(11p + -4q)' equal to zero and attempt to solve: Simplifying 11p + -4q = 0 Solving 11p + -4q = 0 Move all terms containing p to the left, all other terms to the right. Add '4q' to each side of the equation. 11p + -4q + 4q = 0 + 4q Combine like terms: -4q + 4q = 0 11p + 0 = 0 + 4q 11p = 0 + 4q Remove the zero: 11p = 4q Divide each side by '11'. p = 0.3636363636q Simplifying p = 0.3636363636qSolution
p = {0.3636363636q, 0.3636363636q}
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