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Simplifying p2 + 10pq + 9q2 = 0 Reorder the terms: 10pq + p2 + 9q2 = 0 Solving 10pq + p2 + 9q2 = 0 Solving for variable 'p'. Factor a trinomial. (p + q)(p + 9q) = 0Subproblem 1
Set the factor '(p + q)' equal to zero and attempt to solve: Simplifying p + q = 0 Solving p + q = 0 Move all terms containing p to the left, all other terms to the right. Add '-1q' to each side of the equation. p + q + -1q = 0 + -1q Combine like terms: q + -1q = 0 p + 0 = 0 + -1q p = 0 + -1q Remove the zero: p = -1q Simplifying p = -1qSubproblem 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 = {-1q, -9q}
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