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Simplifying p2 + -18p + 65 = 0 Reorder the terms: 65 + -18p + p2 = 0 Solving 65 + -18p + p2 = 0 Solving for variable 'p'. Factor a trinomial. (5 + -1p)(13 + -1p) = 0Subproblem 1
Set the factor '(5 + -1p)' equal to zero and attempt to solve: Simplifying 5 + -1p = 0 Solving 5 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1p = 0 + -5 -1p = 0 + -5 Combine like terms: 0 + -5 = -5 -1p = -5 Divide each side by '-1'. p = 5 Simplifying p = 5Subproblem 2
Set the factor '(13 + -1p)' equal to zero and attempt to solve: Simplifying 13 + -1p = 0 Solving 13 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1p = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1p = 0 + -13 -1p = 0 + -13 Combine like terms: 0 + -13 = -13 -1p = -13 Divide each side by '-1'. p = 13 Simplifying p = 13Solution
p = {5, 13}
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