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Simplifying p2 + 16p + 24 = 9 Reorder the terms: 24 + 16p + p2 = 9 Solving 24 + 16p + p2 = 9 Solving for variable 'p'. Reorder the terms: 24 + -9 + 16p + p2 = 9 + -9 Combine like terms: 24 + -9 = 15 15 + 16p + p2 = 9 + -9 Combine like terms: 9 + -9 = 0 15 + 16p + p2 = 0 Factor a trinomial. (15 + p)(1 + p) = 0Subproblem 1
Set the factor '(15 + p)' equal to zero and attempt to solve: Simplifying 15 + p = 0 Solving 15 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + p = 0 + -15 Combine like terms: 15 + -15 = 0 0 + p = 0 + -15 p = 0 + -15 Combine like terms: 0 + -15 = -15 p = -15 Simplifying p = -15Subproblem 2
Set the factor '(1 + p)' equal to zero and attempt to solve: Simplifying 1 + p = 0 Solving 1 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + p = 0 + -1 p = 0 + -1 Combine like terms: 0 + -1 = -1 p = -1 Simplifying p = -1Solution
p = {-15, -1}
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