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Simplifying -23p + -24 = -1p2 Reorder the terms: -24 + -23p = -1p2 Solving -24 + -23p = -1p2 Solving for variable 'p'. Combine like terms: -1p2 + p2 = 0 -24 + -23p + p2 = 0 Factor a trinomial. (-1 + -1p)(24 + -1p) = 0Subproblem 1
Set the factor '(-1 + -1p)' equal to zero and attempt to solve: Simplifying -1 + -1p = 0 Solving -1 + -1p = 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 + -1p = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1p = 0 + 1 -1p = 0 + 1 Combine like terms: 0 + 1 = 1 -1p = 1 Divide each side by '-1'. p = -1 Simplifying p = -1Subproblem 2
Set the factor '(24 + -1p)' equal to zero and attempt to solve: Simplifying 24 + -1p = 0 Solving 24 + -1p = 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 + -1p = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1p = 0 + -24 -1p = 0 + -24 Combine like terms: 0 + -24 = -24 -1p = -24 Divide each side by '-1'. p = 24 Simplifying p = 24Solution
p = {-1, 24}
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