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Simplifying 9p2 + -58p + 24 = 0 Reorder the terms: 24 + -58p + 9p2 = 0 Solving 24 + -58p + 9p2 = 0 Solving for variable 'p'. Factor a trinomial. (4 + -9p)(6 + -1p) = 0Subproblem 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 '(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 = {0.4444444444, 6}
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