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Simplifying 15p2 + -27p + -8 = -8p Reorder the terms: -8 + -27p + 15p2 = -8p Solving -8 + -27p + 15p2 = -8p Solving for variable 'p'. Reorder the terms: -8 + -27p + 8p + 15p2 = -8p + 8p Combine like terms: -27p + 8p = -19p -8 + -19p + 15p2 = -8p + 8p Combine like terms: -8p + 8p = 0 -8 + -19p + 15p2 = 0 Factor a trinomial. (-1 + -3p)(8 + -5p) = 0Subproblem 1
Set the factor '(-1 + -3p)' equal to zero and attempt to solve: Simplifying -1 + -3p = 0 Solving -1 + -3p = 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 + -3p = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3p = 0 + 1 -3p = 0 + 1 Combine like terms: 0 + 1 = 1 -3p = 1 Divide each side by '-3'. p = -0.3333333333 Simplifying p = -0.3333333333Subproblem 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 = {-0.3333333333, 1.6}
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