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