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Simplifying p2 + 20p + 64 = 0 Reorder the terms: 64 + 20p + p2 = 0 Solving 64 + 20p + p2 = 0 Solving for variable 'p'. Factor a trinomial. (16 + p)(4 + p) = 0Subproblem 1
Set the factor '(16 + p)' equal to zero and attempt to solve: Simplifying 16 + p = 0 Solving 16 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + p = 0 + -16 Combine like terms: 16 + -16 = 0 0 + p = 0 + -16 p = 0 + -16 Combine like terms: 0 + -16 = -16 p = -16 Simplifying p = -16Subproblem 2
Set the factor '(4 + p)' equal to zero and attempt to solve: Simplifying 4 + p = 0 Solving 4 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + p = 0 + -4 p = 0 + -4 Combine like terms: 0 + -4 = -4 p = -4 Simplifying p = -4Solution
p = {-16, -4}
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