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Simplifying 35p2 + 338p = -448 + 2p Reorder the terms: 338p + 35p2 = -448 + 2p Solving 338p + 35p2 = -448 + 2p Solving for variable 'p'. Reorder the terms: 448 + 338p + -2p + 35p2 = -448 + 2p + 448 + -2p Combine like terms: 338p + -2p = 336p 448 + 336p + 35p2 = -448 + 2p + 448 + -2p Reorder the terms: 448 + 336p + 35p2 = -448 + 448 + 2p + -2p Combine like terms: -448 + 448 = 0 448 + 336p + 35p2 = 0 + 2p + -2p 448 + 336p + 35p2 = 2p + -2p Combine like terms: 2p + -2p = 0 448 + 336p + 35p2 = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(64 + 48p + 5p2) = 0 Factor a trinomial. 7((8 + p)(8 + 5p)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(8 + p)' equal to zero and attempt to solve: Simplifying 8 + p = 0 Solving 8 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + p = 0 + -8 Combine like terms: 8 + -8 = 0 0 + p = 0 + -8 p = 0 + -8 Combine like terms: 0 + -8 = -8 p = -8 Simplifying p = -8Subproblem 2
Set the factor '(8 + 5p)' equal to zero and attempt to solve: Simplifying 8 + 5p = 0 Solving 8 + 5p = 0 Move all terms containing p to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5p = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5p = 0 + -8 5p = 0 + -8 Combine like terms: 0 + -8 = -8 5p = -8 Divide each side by '5'. p = -1.6 Simplifying p = -1.6Solution
p = {-8, -1.6}
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