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Simplifying 5p2 + 12p + -1 = -8 Reorder the terms: -1 + 12p + 5p2 = -8 Solving -1 + 12p + 5p2 = -8 Solving for variable 'p'. Reorder the terms: -1 + 8 + 12p + 5p2 = -8 + 8 Combine like terms: -1 + 8 = 7 7 + 12p + 5p2 = -8 + 8 Combine like terms: -8 + 8 = 0 7 + 12p + 5p2 = 0 Factor a trinomial. (7 + 5p)(1 + p) = 0Subproblem 1
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 = -1.4Subproblem 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 = {-1.4, -1}
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