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Simplifying p2 + 14p + -19 = -4 Reorder the terms: -19 + 14p + p2 = -4 Solving -19 + 14p + p2 = -4 Solving for variable 'p'. Reorder the terms: -19 + 4 + 14p + p2 = -4 + 4 Combine like terms: -19 + 4 = -15 -15 + 14p + p2 = -4 + 4 Combine like terms: -4 + 4 = 0 -15 + 14p + p2 = 0 Factor a trinomial. (-15 + -1p)(1 + -1p) = 0Subproblem 1
Set the factor '(-15 + -1p)' equal to zero and attempt to solve: Simplifying -15 + -1p = 0 Solving -15 + -1p = 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 + -1p = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1p = 0 + 15 -1p = 0 + 15 Combine like terms: 0 + 15 = 15 -1p = 15 Divide each side by '-1'. p = -15 Simplifying p = -15Subproblem 2
Set the factor '(1 + -1p)' equal to zero and attempt to solve: Simplifying 1 + -1p = 0 Solving 1 + -1p = 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 + -1p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1p = 0 + -1 -1p = 0 + -1 Combine like terms: 0 + -1 = -1 -1p = -1 Divide each side by '-1'. p = 1 Simplifying p = 1Solution
p = {-15, 1}
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