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Simplifying p2 + -20p + 91 = 0 Reorder the terms: 91 + -20p + p2 = 0 Solving 91 + -20p + p2 = 0 Solving for variable 'p'. Factor a trinomial. (7 + -1p)(13 + -1p) = 0Subproblem 1
Set the factor '(7 + -1p)' equal to zero and attempt to solve: Simplifying 7 + -1p = 0 Solving 7 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1p = 0 + -7 -1p = 0 + -7 Combine like terms: 0 + -7 = -7 -1p = -7 Divide each side by '-1'. p = 7 Simplifying p = 7Subproblem 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 = {7, 13}
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