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Simplifying p2 + 16pq + 64q2 = 0 Reorder the terms: 16pq + p2 + 64q2 = 0 Solving 16pq + p2 + 64q2 = 0 Solving for variable 'p'. Factor a trinomial. (p + 8q)(p + 8q) = 0Subproblem 1
Set the factor '(p + 8q)' equal to zero and attempt to solve: Simplifying p + 8q = 0 Solving p + 8q = 0 Move all terms containing p to the left, all other terms to the right. Add '-8q' to each side of the equation. p + 8q + -8q = 0 + -8q Combine like terms: 8q + -8q = 0 p + 0 = 0 + -8q p = 0 + -8q Remove the zero: p = -8q Simplifying p = -8qSubproblem 2
Set the factor '(p + 8q)' equal to zero and attempt to solve: Simplifying p + 8q = 0 Solving p + 8q = 0 Move all terms containing p to the left, all other terms to the right. Add '-8q' to each side of the equation. p + 8q + -8q = 0 + -8q Combine like terms: 8q + -8q = 0 p + 0 = 0 + -8q p = 0 + -8q Remove the zero: p = -8q Simplifying p = -8qSolution
p = {-8q, -8q}
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