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Simplifying p2 + -14p + 13 = 0 Reorder the terms: 13 + -14p + p2 = 0 Solving 13 + -14p + p2 = 0 Solving for variable 'p'. Factor a trinomial. (1 + -1p)(13 + -1p) = 0Subproblem 1
Set the factor '(1 + -1p)' equal to zero and attempt to solve: Simplifying 1 + -1p = 0 Solving 1 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1p = 0 + -1 -1p = 0 + -1 Combine like terms: 0 + -1 = -1 -1p = -1 Divide each side by '-1'. p = 1 Simplifying p = 1Subproblem 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 = {1, 13}
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