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Simplifying p2 + 19p + 18 = 0 Reorder the terms: 18 + 19p + p2 = 0 Solving 18 + 19p + p2 = 0 Solving for variable 'p'. Factor a trinomial. (18 + p)(1 + p) = 0Subproblem 1
Set the factor '(18 + p)' equal to zero and attempt to solve: Simplifying 18 + p = 0 Solving 18 + p = 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 + p = 0 + -18 Combine like terms: 18 + -18 = 0 0 + p = 0 + -18 p = 0 + -18 Combine like terms: 0 + -18 = -18 p = -18 Simplifying p = -18Subproblem 2
Set the factor '(1 + p)' equal to zero and attempt to solve: Simplifying 1 + p = 0 Solving 1 + p = 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 + p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + p = 0 + -1 p = 0 + -1 Combine like terms: 0 + -1 = -1 p = -1 Simplifying p = -1Solution
p = {-18, -1}
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