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Simplifying (5p + 24)(p + 1) = 0 Reorder the terms: (24 + 5p)(p + 1) = 0 Reorder the terms: (24 + 5p)(1 + p) = 0 Multiply (24 + 5p) * (1 + p) (24(1 + p) + 5p * (1 + p)) = 0 ((1 * 24 + p * 24) + 5p * (1 + p)) = 0 ((24 + 24p) + 5p * (1 + p)) = 0 (24 + 24p + (1 * 5p + p * 5p)) = 0 (24 + 24p + (5p + 5p2)) = 0 Combine like terms: 24p + 5p = 29p (24 + 29p + 5p2) = 0 Solving 24 + 29p + 5p2 = 0 Solving for variable 'p'. Factor a trinomial. (24 + 5p)(1 + p) = 0Subproblem 1
Set the factor '(24 + 5p)' equal to zero and attempt to solve: Simplifying 24 + 5p = 0 Solving 24 + 5p = 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 + 5p = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 5p = 0 + -24 5p = 0 + -24 Combine like terms: 0 + -24 = -24 5p = -24 Divide each side by '5'. p = -4.8 Simplifying p = -4.8Subproblem 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 = {-4.8, -1}
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