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Simplifying p2 + -10p + -56 = 0 Reorder the terms: -56 + -10p + p2 = 0 Solving -56 + -10p + p2 = 0 Solving for variable 'p'. Factor a trinomial. (-4 + -1p)(14 + -1p) = 0Subproblem 1
Set the factor '(-4 + -1p)' equal to zero and attempt to solve: Simplifying -4 + -1p = 0 Solving -4 + -1p = 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 + -1p = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1p = 0 + 4 -1p = 0 + 4 Combine like terms: 0 + 4 = 4 -1p = 4 Divide each side by '-1'. p = -4 Simplifying p = -4Subproblem 2
Set the factor '(14 + -1p)' equal to zero and attempt to solve: Simplifying 14 + -1p = 0 Solving 14 + -1p = 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 + -1p = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1p = 0 + -14 -1p = 0 + -14 Combine like terms: 0 + -14 = -14 -1p = -14 Divide each side by '-1'. p = 14 Simplifying p = 14Solution
p = {-4, 14}
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