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Simplifying p2 + 11pq + 24q2 = 0 Reorder the terms: 11pq + p2 + 24q2 = 0 Solving 11pq + p2 + 24q2 = 0 Solving for variable 'p'. Factor a trinomial. (p + 3q)(p + 8q) = 0Subproblem 1
Set the factor '(p + 3q)' equal to zero and attempt to solve: Simplifying p + 3q = 0 Solving p + 3q = 0 Move all terms containing p to the left, all other terms to the right. Add '-3q' to each side of the equation. p + 3q + -3q = 0 + -3q Combine like terms: 3q + -3q = 0 p + 0 = 0 + -3q p = 0 + -3q Remove the zero: p = -3q Simplifying p = -3qSubproblem 2
Set the factor '(p + 8q)' equal to zero and attempt to solve: Simplifying p + 8q = 0 Solving p + 8q = 0 Move all terms containing p to the left, all other terms to the right. Add '-8q' to each side of the equation. p + 8q + -8q = 0 + -8q Combine like terms: 8q + -8q = 0 p + 0 = 0 + -8q p = 0 + -8q Remove the zero: p = -8q Simplifying p = -8qSolution
p = {-3q, -8q}
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