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Simplifying p2 + 17p + 61 = 9 Reorder the terms: 61 + 17p + p2 = 9 Solving 61 + 17p + p2 = 9 Solving for variable 'p'. Reorder the terms: 61 + -9 + 17p + p2 = 9 + -9 Combine like terms: 61 + -9 = 52 52 + 17p + p2 = 9 + -9 Combine like terms: 9 + -9 = 0 52 + 17p + p2 = 0 Factor a trinomial. (13 + p)(4 + p) = 0Subproblem 1
Set the factor '(13 + p)' equal to zero and attempt to solve: Simplifying 13 + p = 0 Solving 13 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + p = 0 + -13 Combine like terms: 13 + -13 = 0 0 + p = 0 + -13 p = 0 + -13 Combine like terms: 0 + -13 = -13 p = -13 Simplifying p = -13Subproblem 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 = {-13, -4}
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