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Simplifying p2 + -14p + -72 = 0 Reorder the terms: -72 + -14p + p2 = 0 Solving -72 + -14p + p2 = 0 Solving for variable 'p'. Factor a trinomial. (-4 + -1p)(18 + -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 '(18 + -1p)' equal to zero and attempt to solve: Simplifying 18 + -1p = 0 Solving 18 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1p = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1p = 0 + -18 -1p = 0 + -18 Combine like terms: 0 + -18 = -18 -1p = -18 Divide each side by '-1'. p = 18 Simplifying p = 18Solution
p = {-4, 18}
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