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Simplifying (p + 8)(p + 5) = 0 Reorder the terms: (8 + p)(p + 5) = 0 Reorder the terms: (8 + p)(5 + p) = 0 Multiply (8 + p) * (5 + p) (8(5 + p) + p(5 + p)) = 0 ((5 * 8 + p * 8) + p(5 + p)) = 0 ((40 + 8p) + p(5 + p)) = 0 (40 + 8p + (5 * p + p * p)) = 0 (40 + 8p + (5p + p2)) = 0 Combine like terms: 8p + 5p = 13p (40 + 13p + p2) = 0 Solving 40 + 13p + p2 = 0 Solving for variable 'p'. Factor a trinomial. (8 + p)(5 + p) = 0Subproblem 1
Set the factor '(8 + p)' equal to zero and attempt to solve: Simplifying 8 + p = 0 Solving 8 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + p = 0 + -8 Combine like terms: 8 + -8 = 0 0 + p = 0 + -8 p = 0 + -8 Combine like terms: 0 + -8 = -8 p = -8 Simplifying p = -8Subproblem 2
Set the factor '(5 + p)' equal to zero and attempt to solve: Simplifying 5 + p = 0 Solving 5 + p = 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 + p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + p = 0 + -5 p = 0 + -5 Combine like terms: 0 + -5 = -5 p = -5 Simplifying p = -5Solution
p = {-8, -5}
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