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Simplifying p2 + -19p + 70 = 0 Reorder the terms: 70 + -19p + p2 = 0 Solving 70 + -19p + p2 = 0 Solving for variable 'p'. Factor a trinomial. (5 + -1p)(14 + -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 '(14 + -1p)' equal to zero and attempt to solve: Simplifying 14 + -1p = 0 Solving 14 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1p = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1p = 0 + -14 -1p = 0 + -14 Combine like terms: 0 + -14 = -14 -1p = -14 Divide each side by '-1'. p = 14 Simplifying p = 14Solution
p = {5, 14}
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