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Simplifying 32p2 + -236p + -160 = 0 Reorder the terms: -160 + -236p + 32p2 = 0 Solving -160 + -236p + 32p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '4'. 4(-40 + -59p + 8p2) = 0 Factor a trinomial. 4((-5 + -8p)(8 + -1p)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-5 + -8p)' equal to zero and attempt to solve: Simplifying -5 + -8p = 0 Solving -5 + -8p = 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 + -8p = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -8p = 0 + 5 -8p = 0 + 5 Combine like terms: 0 + 5 = 5 -8p = 5 Divide each side by '-8'. p = -0.625 Simplifying p = -0.625Subproblem 2
Set the factor '(8 + -1p)' equal to zero and attempt to solve: Simplifying 8 + -1p = 0 Solving 8 + -1p = 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 + -1p = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1p = 0 + -8 -1p = 0 + -8 Combine like terms: 0 + -8 = -8 -1p = -8 Divide each side by '-1'. p = 8 Simplifying p = 8Solution
p = {-0.625, 8}
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