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Simplifying 2p2 + 7p = -5 Reorder the terms: 7p + 2p2 = -5 Solving 7p + 2p2 = -5 Solving for variable 'p'. Reorder the terms: 5 + 7p + 2p2 = -5 + 5 Combine like terms: -5 + 5 = 0 5 + 7p + 2p2 = 0 Factor a trinomial. (5 + 2p)(1 + p) = 0Subproblem 1
Set the factor '(5 + 2p)' equal to zero and attempt to solve: Simplifying 5 + 2p = 0 Solving 5 + 2p = 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 + 2p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2p = 0 + -5 2p = 0 + -5 Combine like terms: 0 + -5 = -5 2p = -5 Divide each side by '2'. p = -2.5 Simplifying p = -2.5Subproblem 2
Set the factor '(1 + p)' equal to zero and attempt to solve: Simplifying 1 + p = 0 Solving 1 + p = 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 + p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + p = 0 + -1 p = 0 + -1 Combine like terms: 0 + -1 = -1 p = -1 Simplifying p = -1Solution
p = {-2.5, -1}
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