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Simplifying 2p2 + 7 = -9p Reorder the terms: 7 + 2p2 = -9p Solving 7 + 2p2 = -9p Solving for variable 'p'. Reorder the terms: 7 + 9p + 2p2 = -9p + 9p Combine like terms: -9p + 9p = 0 7 + 9p + 2p2 = 0 Factor a trinomial. (7 + 2p)(1 + p) = 0Subproblem 1
Set the factor '(7 + 2p)' equal to zero and attempt to solve: Simplifying 7 + 2p = 0 Solving 7 + 2p = 0 Move all terms containing p to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2p = 0 + -7 2p = 0 + -7 Combine like terms: 0 + -7 = -7 2p = -7 Divide each side by '2'. p = -3.5 Simplifying p = -3.5Subproblem 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 = {-3.5, -1}
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