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Simplifying p2 + 18p + 47 = -9 Reorder the terms: 47 + 18p + p2 = -9 Solving 47 + 18p + p2 = -9 Solving for variable 'p'. Reorder the terms: 47 + 9 + 18p + p2 = -9 + 9 Combine like terms: 47 + 9 = 56 56 + 18p + p2 = -9 + 9 Combine like terms: -9 + 9 = 0 56 + 18p + p2 = 0 Factor a trinomial. (14 + p)(4 + p) = 0Subproblem 1
Set the factor '(14 + p)' equal to zero and attempt to solve: Simplifying 14 + p = 0 Solving 14 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + p = 0 + -14 Combine like terms: 14 + -14 = 0 0 + p = 0 + -14 p = 0 + -14 Combine like terms: 0 + -14 = -14 p = -14 Simplifying p = -14Subproblem 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 = {-14, -4}
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