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Simplifying -36p2 + 136p + 32 = 0 Reorder the terms: 32 + 136p + -36p2 = 0 Solving 32 + 136p + -36p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '4'. 4(8 + 34p + -9p2) = 0 Factor a trinomial. 4((4 + -1p)(2 + 9p)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(4 + -1p)' equal to zero and attempt to solve: Simplifying 4 + -1p = 0 Solving 4 + -1p = 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 + -1p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1p = 0 + -4 -1p = 0 + -4 Combine like terms: 0 + -4 = -4 -1p = -4 Divide each side by '-1'. p = 4 Simplifying p = 4Subproblem 2
Set the factor '(2 + 9p)' equal to zero and attempt to solve: Simplifying 2 + 9p = 0 Solving 2 + 9p = 0 Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 9p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 9p = 0 + -2 9p = 0 + -2 Combine like terms: 0 + -2 = -2 9p = -2 Divide each side by '9'. p = -0.2222222222 Simplifying p = -0.2222222222Solution
p = {4, -0.2222222222}
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