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Simplifying (p + 8)(p + 4) = 0 Reorder the terms: (8 + p)(p + 4) = 0 Reorder the terms: (8 + p)(4 + p) = 0 Multiply (8 + p) * (4 + p) (8(4 + p) + p(4 + p)) = 0 ((4 * 8 + p * 8) + p(4 + p)) = 0 ((32 + 8p) + p(4 + p)) = 0 (32 + 8p + (4 * p + p * p)) = 0 (32 + 8p + (4p + p2)) = 0 Combine like terms: 8p + 4p = 12p (32 + 12p + p2) = 0 Solving 32 + 12p + p2 = 0 Solving for variable 'p'. Factor a trinomial. (8 + p)(4 + 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 '(4 + p)' equal to zero and attempt to solve: Simplifying 4 + p = 0 Solving 4 + p = 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 + p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + p = 0 + -4 p = 0 + -4 Combine like terms: 0 + -4 = -4 p = -4 Simplifying p = -4Solution
p = {-8, -4}
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