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Simplifying p2 + 10pq + -56q2 = 0 Reorder the terms: 10pq + p2 + -56q2 = 0 Solving 10pq + p2 + -56q2 = 0 Solving for variable 'p'. Factor a trinomial. (p + -4q)(p + 14q) = 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 + 14q)' equal to zero and attempt to solve: Simplifying p + 14q = 0 Solving p + 14q = 0 Move all terms containing p to the left, all other terms to the right. Add '-14q' to each side of the equation. p + 14q + -14q = 0 + -14q Combine like terms: 14q + -14q = 0 p + 0 = 0 + -14q p = 0 + -14q Remove the zero: p = -14q Simplifying p = -14qSolution
p = {4q, -14q}
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