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Simplifying p2 + 24p + 23 = 0 Reorder the terms: 23 + 24p + p2 = 0 Solving 23 + 24p + p2 = 0 Solving for variable 'p'. Factor a trinomial. (23 + p)(1 + p) = 0Subproblem 1
Set the factor '(23 + p)' equal to zero and attempt to solve: Simplifying 23 + p = 0 Solving 23 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + p = 0 + -23 Combine like terms: 23 + -23 = 0 0 + p = 0 + -23 p = 0 + -23 Combine like terms: 0 + -23 = -23 p = -23 Simplifying p = -23Subproblem 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 = {-23, -1}
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