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Simplifying 14qp + -51q2 + p2 = 0 Reorder the terms: 14pq + p2 + -51q2 = 0 Solving 14pq + p2 + -51q2 = 0 Solving for variable 'p'. Factor a trinomial. (p + -3q)(p + 17q) = 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 + 17q)' equal to zero and attempt to solve: Simplifying p + 17q = 0 Solving p + 17q = 0 Move all terms containing p to the left, all other terms to the right. Add '-17q' to each side of the equation. p + 17q + -17q = 0 + -17q Combine like terms: 17q + -17q = 0 p + 0 = 0 + -17q p = 0 + -17q Remove the zero: p = -17q Simplifying p = -17qSolution
p = {3q, -17q}
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