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Simplifying p2 + -15p + -54 = 0 Reorder the terms: -54 + -15p + p2 = 0 Solving -54 + -15p + p2 = 0 Solving for variable 'p'. Factor a trinomial. (-3 + -1p)(18 + -1p) = 0Subproblem 1
Set the factor '(-3 + -1p)' equal to zero and attempt to solve: Simplifying -3 + -1p = 0 Solving -3 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1p = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1p = 0 + 3 -1p = 0 + 3 Combine like terms: 0 + 3 = 3 -1p = 3 Divide each side by '-1'. p = -3 Simplifying p = -3Subproblem 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 = {-3, 18}
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