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Simplifying 3p2 = -8p + -5 Reorder the terms: 3p2 = -5 + -8p Solving 3p2 = -5 + -8p Solving for variable 'p'. Reorder the terms: 5 + 8p + 3p2 = -5 + -8p + 5 + 8p Reorder the terms: 5 + 8p + 3p2 = -5 + 5 + -8p + 8p Combine like terms: -5 + 5 = 0 5 + 8p + 3p2 = 0 + -8p + 8p 5 + 8p + 3p2 = -8p + 8p Combine like terms: -8p + 8p = 0 5 + 8p + 3p2 = 0 Factor a trinomial. (5 + 3p)(1 + p) = 0Subproblem 1
Set the factor '(5 + 3p)' equal to zero and attempt to solve: Simplifying 5 + 3p = 0 Solving 5 + 3p = 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 + 3p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3p = 0 + -5 3p = 0 + -5 Combine like terms: 0 + -5 = -5 3p = -5 Divide each side by '3'. p = -1.666666667 Simplifying p = -1.666666667Subproblem 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 = {-1.666666667, -1}
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