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Simplifying 2p2 + 7p + -85 = 0 Reorder the terms: -85 + 7p + 2p2 = 0 Solving -85 + 7p + 2p2 = 0 Solving for variable 'p'. Factor a trinomial. (-17 + -2p)(5 + -1p) = 0Subproblem 1
Set the factor '(-17 + -2p)' equal to zero and attempt to solve: Simplifying -17 + -2p = 0 Solving -17 + -2p = 0 Move all terms containing p to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -2p = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -2p = 0 + 17 -2p = 0 + 17 Combine like terms: 0 + 17 = 17 -2p = 17 Divide each side by '-2'. p = -8.5 Simplifying p = -8.5Subproblem 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 = {-8.5, 5}
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