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Simplifying p2 + 5pq + -36q2 = 0 Reorder the terms: 5pq + p2 + -36q2 = 0 Solving 5pq + p2 + -36q2 = 0 Solving for variable 'p'. Factor a trinomial. (p + -4q)(p + 9q) = 0Subproblem 1
Set the factor '(p + -4q)' equal to zero and attempt to solve: Simplifying p + -4q = 0 Solving p + -4q = 0 Move all terms containing p to the left, all other terms to the right. Add '4q' to each side of the equation. p + -4q + 4q = 0 + 4q Combine like terms: -4q + 4q = 0 p + 0 = 0 + 4q p = 0 + 4q Remove the zero: p = 4q Simplifying p = 4qSubproblem 2
Set the factor '(p + 9q)' equal to zero and attempt to solve: Simplifying p + 9q = 0 Solving p + 9q = 0 Move all terms containing p to the left, all other terms to the right. Add '-9q' to each side of the equation. p + 9q + -9q = 0 + -9q Combine like terms: 9q + -9q = 0 p + 0 = 0 + -9q p = 0 + -9q Remove the zero: p = -9q Simplifying p = -9qSolution
p = {4q, -9q}
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