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Simplifying 5p2 + -24p + 27 = 0 Reorder the terms: 27 + -24p + 5p2 = 0 Solving 27 + -24p + 5p2 = 0 Solving for variable 'p'. Factor a trinomial. (9 + -5p)(3 + -1p) = 0Subproblem 1
Set the factor '(9 + -5p)' equal to zero and attempt to solve: Simplifying 9 + -5p = 0 Solving 9 + -5p = 0 Move all terms containing p to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -5p = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5p = 0 + -9 -5p = 0 + -9 Combine like terms: 0 + -9 = -9 -5p = -9 Divide each side by '-5'. p = 1.8 Simplifying p = 1.8Subproblem 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 = {1.8, 3}
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