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Simplifying 9p2 + -19p + -24 = 0 Reorder the terms: -24 + -19p + 9p2 = 0 Solving -24 + -19p + 9p2 = 0 Solving for variable 'p'. Factor a trinomial. (-8 + -9p)(3 + -1p) = 0Subproblem 1
Set the factor '(-8 + -9p)' equal to zero and attempt to solve: Simplifying -8 + -9p = 0 Solving -8 + -9p = 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 + -9p = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -9p = 0 + 8 -9p = 0 + 8 Combine like terms: 0 + 8 = 8 -9p = 8 Divide each side by '-9'. p = -0.8888888889 Simplifying p = -0.8888888889Subproblem 2
Set the factor '(3 + -1p)' equal to zero and attempt to solve: Simplifying 3 + -1p = 0 Solving 3 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1p = 0 + -3 -1p = 0 + -3 Combine like terms: 0 + -3 = -3 -1p = -3 Divide each side by '-1'. p = 3 Simplifying p = 3Solution
p = {-0.8888888889, 3}
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