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Simplifying 36p2 + -272p + -128 = 0 Reorder the terms: -128 + -272p + 36p2 = 0 Solving -128 + -272p + 36p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '4'. 4(-32 + -68p + 9p2) = 0 Factor a trinomial. 4((-4 + -9p)(8 + -1p)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-4 + -9p)' equal to zero and attempt to solve: Simplifying -4 + -9p = 0 Solving -4 + -9p = 0 Move all terms containing p to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -9p = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -9p = 0 + 4 -9p = 0 + 4 Combine like terms: 0 + 4 = 4 -9p = 4 Divide each side by '-9'. p = -0.4444444444 Simplifying p = -0.4444444444Subproblem 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 = {-0.4444444444, 8}
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