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Simplifying p2 + 2pq + -35q2 = 0 Reorder the terms: 2pq + p2 + -35q2 = 0 Solving 2pq + p2 + -35q2 = 0 Solving for variable 'p'. Factor a trinomial. (p + -5q)(p + 7q) = 0Subproblem 1
Set the factor '(p + -5q)' equal to zero and attempt to solve: Simplifying p + -5q = 0 Solving p + -5q = 0 Move all terms containing p to the left, all other terms to the right. Add '5q' to each side of the equation. p + -5q + 5q = 0 + 5q Combine like terms: -5q + 5q = 0 p + 0 = 0 + 5q p = 0 + 5q Remove the zero: p = 5q Simplifying p = 5qSubproblem 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 = {5q, -7q}
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