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Simplifying p2 + 8pq + 16q2 = 0 Reorder the terms: 8pq + p2 + 16q2 = 0 Solving 8pq + p2 + 16q2 = 0 Solving for variable 'p'. Factor a trinomial. (p + 4q)(p + 4q) = 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 + 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 = -4qSolution
p = {-4q, -4q}
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