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Simplifying (p + 15)(24 + p) = 0 Reorder the terms: (15 + p)(24 + p) = 0 Multiply (15 + p) * (24 + p) (15(24 + p) + p(24 + p)) = 0 ((24 * 15 + p * 15) + p(24 + p)) = 0 ((360 + 15p) + p(24 + p)) = 0 (360 + 15p + (24 * p + p * p)) = 0 (360 + 15p + (24p + p2)) = 0 Combine like terms: 15p + 24p = 39p (360 + 39p + p2) = 0 Solving 360 + 39p + p2 = 0 Solving for variable 'p'. Factor a trinomial. (24 + p)(15 + p) = 0Subproblem 1
Set the factor '(24 + p)' equal to zero and attempt to solve: Simplifying 24 + p = 0 Solving 24 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + p = 0 + -24 Combine like terms: 24 + -24 = 0 0 + p = 0 + -24 p = 0 + -24 Combine like terms: 0 + -24 = -24 p = -24 Simplifying p = -24Subproblem 2
Set the factor '(15 + p)' equal to zero and attempt to solve: Simplifying 15 + p = 0 Solving 15 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + p = 0 + -15 Combine like terms: 15 + -15 = 0 0 + p = 0 + -15 p = 0 + -15 Combine like terms: 0 + -15 = -15 p = -15 Simplifying p = -15Solution
p = {-24, -15}
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