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Simplifying p2 + -8pq + -33q2 = 0 Reorder the terms: -8pq + p2 + -33q2 = 0 Solving -8pq + p2 + -33q2 = 0 Solving for variable 'p'. Factor a trinomial. (p + -11q)(p + 3q) = 0Subproblem 1
Set the factor '(p + -11q)' equal to zero and attempt to solve: Simplifying p + -11q = 0 Solving p + -11q = 0 Move all terms containing p to the left, all other terms to the right. Add '11q' to each side of the equation. p + -11q + 11q = 0 + 11q Combine like terms: -11q + 11q = 0 p + 0 = 0 + 11q p = 0 + 11q Remove the zero: p = 11q Simplifying p = 11qSubproblem 2
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 = -3qSolution
p = {11q, -3q}
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