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Simplifying 5p2 + -2p + -15 = -8 Reorder the terms: -15 + -2p + 5p2 = -8 Solving -15 + -2p + 5p2 = -8 Solving for variable 'p'. Reorder the terms: -15 + 8 + -2p + 5p2 = -8 + 8 Combine like terms: -15 + 8 = -7 -7 + -2p + 5p2 = -8 + 8 Combine like terms: -8 + 8 = 0 -7 + -2p + 5p2 = 0 Factor a trinomial. (-1 + -1p)(7 + -5p) = 0Subproblem 1
Set the factor '(-1 + -1p)' equal to zero and attempt to solve: Simplifying -1 + -1p = 0 Solving -1 + -1p = 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 + -1p = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1p = 0 + 1 -1p = 0 + 1 Combine like terms: 0 + 1 = 1 -1p = 1 Divide each side by '-1'. p = -1 Simplifying p = -1Subproblem 2
Set the factor '(7 + -5p)' equal to zero and attempt to solve: Simplifying 7 + -5p = 0 Solving 7 + -5p = 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 + -5p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5p = 0 + -7 -5p = 0 + -7 Combine like terms: 0 + -7 = -7 -5p = -7 Divide each side by '-5'. p = 1.4 Simplifying p = 1.4Solution
p = {-1, 1.4}
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