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Simplifying 10p2 = -29p + -10 Reorder the terms: 10p2 = -10 + -29p Solving 10p2 = -10 + -29p Solving for variable 'p'. Reorder the terms: 10 + 29p + 10p2 = -10 + -29p + 10 + 29p Reorder the terms: 10 + 29p + 10p2 = -10 + 10 + -29p + 29p Combine like terms: -10 + 10 = 0 10 + 29p + 10p2 = 0 + -29p + 29p 10 + 29p + 10p2 = -29p + 29p Combine like terms: -29p + 29p = 0 10 + 29p + 10p2 = 0 Factor a trinomial. (5 + 2p)(2 + 5p) = 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 '(2 + 5p)' equal to zero and attempt to solve: Simplifying 2 + 5p = 0 Solving 2 + 5p = 0 Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5p = 0 + -2 5p = 0 + -2 Combine like terms: 0 + -2 = -2 5p = -2 Divide each side by '5'. p = -0.4 Simplifying p = -0.4Solution
p = {-2.5, -0.4}
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