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Simplifying p2 + -24p + 80 = 0 Reorder the terms: 80 + -24p + p2 = 0 Solving 80 + -24p + p2 = 0 Solving for variable 'p'. Factor a trinomial. (4 + -1p)(20 + -1p) = 0Subproblem 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 '(20 + -1p)' equal to zero and attempt to solve: Simplifying 20 + -1p = 0 Solving 20 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1p = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1p = 0 + -20 -1p = 0 + -20 Combine like terms: 0 + -20 = -20 -1p = -20 Divide each side by '-1'. p = 20 Simplifying p = 20Solution
p = {4, 20}
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