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Simplifying 36p2 + -132pq + 121q2 = 0 Reorder the terms: -132pq + 36p2 + 121q2 = 0 Solving -132pq + 36p2 + 121q2 = 0 Solving for variable 'p'. Factor a trinomial. (6p + -11q)(6p + -11q) = 0Subproblem 1
Set the factor '(6p + -11q)' equal to zero and attempt to solve: Simplifying 6p + -11q = 0 Solving 6p + -11q = 0 Move all terms containing p to the left, all other terms to the right. Add '11q' to each side of the equation. 6p + -11q + 11q = 0 + 11q Combine like terms: -11q + 11q = 0 6p + 0 = 0 + 11q 6p = 0 + 11q Remove the zero: 6p = 11q Divide each side by '6'. p = 1.833333333q Simplifying p = 1.833333333qSubproblem 2
Set the factor '(6p + -11q)' equal to zero and attempt to solve: Simplifying 6p + -11q = 0 Solving 6p + -11q = 0 Move all terms containing p to the left, all other terms to the right. Add '11q' to each side of the equation. 6p + -11q + 11q = 0 + 11q Combine like terms: -11q + 11q = 0 6p + 0 = 0 + 11q 6p = 0 + 11q Remove the zero: 6p = 11q Divide each side by '6'. p = 1.833333333q Simplifying p = 1.833333333qSolution
p = {1.833333333q, 1.833333333q}
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