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Simplifying -24 + -104p + 18p2 = 0 Solving -24 + -104p + 18p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '2'. 2(-12 + -52p + 9p2) = 0 Factor a trinomial. 2((-2 + -9p)(6 + -1p)) = 0 Ignore the factor 2.Subproblem 1
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 = -0.2222222222Subproblem 2
Set the factor '(6 + -1p)' equal to zero and attempt to solve: Simplifying 6 + -1p = 0 Solving 6 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1p = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1p = 0 + -6 -1p = 0 + -6 Combine like terms: 0 + -6 = -6 -1p = -6 Divide each side by '-1'. p = 6 Simplifying p = 6Solution
p = {-0.2222222222, 6}
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