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Simplifying p2 + 2p + -360 = 0 Reorder the terms: -360 + 2p + p2 = 0 Solving -360 + 2p + p2 = 0 Solving for variable 'p'. Factor a trinomial. (-20 + -1p)(18 + -1p) = 0Subproblem 1
Set the factor '(-20 + -1p)' equal to zero and attempt to solve: Simplifying -20 + -1p = 0 Solving -20 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -1p = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -1p = 0 + 20 -1p = 0 + 20 Combine like terms: 0 + 20 = 20 -1p = 20 Divide each side by '-1'. p = -20 Simplifying p = -20Subproblem 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 = {-20, 18}
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