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Simplifying p2 + -16pq + 63q2 = 0 Reorder the terms: -16pq + p2 + 63q2 = 0 Solving -16pq + p2 + 63q2 = 0 Solving for variable 'p'. Factor a trinomial. (p + -9q)(p + -7q) = 0Subproblem 1
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 = 9qSubproblem 2
Set the factor '(p + -7q)' equal to zero and attempt to solve: Simplifying p + -7q = 0 Solving p + -7q = 0 Move all terms containing p to the left, all other terms to the right. Add '7q' to each side of the equation. p + -7q + 7q = 0 + 7q Combine like terms: -7q + 7q = 0 p + 0 = 0 + 7q p = 0 + 7q Remove the zero: p = 7q Simplifying p = 7qSolution
p = {9q, 7q}
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