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Simplifying p2 + 14p + -88 = 7 Reorder the terms: -88 + 14p + p2 = 7 Solving -88 + 14p + p2 = 7 Solving for variable 'p'. Reorder the terms: -88 + -7 + 14p + p2 = 7 + -7 Combine like terms: -88 + -7 = -95 -95 + 14p + p2 = 7 + -7 Combine like terms: 7 + -7 = 0 -95 + 14p + p2 = 0 Factor a trinomial. (-19 + -1p)(5 + -1p) = 0Subproblem 1
Set the factor '(-19 + -1p)' equal to zero and attempt to solve: Simplifying -19 + -1p = 0 Solving -19 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -1p = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -1p = 0 + 19 -1p = 0 + 19 Combine like terms: 0 + 19 = 19 -1p = 19 Divide each side by '-1'. p = -19 Simplifying p = -19Subproblem 2
Set the factor '(5 + -1p)' equal to zero and attempt to solve: Simplifying 5 + -1p = 0 Solving 5 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1p = 0 + -5 -1p = 0 + -5 Combine like terms: 0 + -5 = -5 -1p = -5 Divide each side by '-1'. p = 5 Simplifying p = 5Solution
p = {-19, 5}
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