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Simplifying 24 = l2 + -5l Reorder the terms: 24 = -5l + l2 Solving 24 = -5l + l2 Solving for variable 'l'. Reorder the terms: 24 + 5l + -1l2 = -5l + 5l + l2 + -1l2 Combine like terms: -5l + 5l = 0 24 + 5l + -1l2 = 0 + l2 + -1l2 24 + 5l + -1l2 = l2 + -1l2 Combine like terms: l2 + -1l2 = 0 24 + 5l + -1l2 = 0 Factor a trinomial. (8 + -1l)(3 + l) = 0Subproblem 1
Set the factor '(8 + -1l)' equal to zero and attempt to solve: Simplifying 8 + -1l = 0 Solving 8 + -1l = 0 Move all terms containing l to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1l = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1l = 0 + -8 -1l = 0 + -8 Combine like terms: 0 + -8 = -8 -1l = -8 Divide each side by '-1'. l = 8 Simplifying l = 8Subproblem 2
Set the factor '(3 + l)' equal to zero and attempt to solve: Simplifying 3 + l = 0 Solving 3 + l = 0 Move all terms containing l to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + l = 0 + -3 Combine like terms: 3 + -3 = 0 0 + l = 0 + -3 l = 0 + -3 Combine like terms: 0 + -3 = -3 l = -3 Simplifying l = -3Solution
l = {8, -3}
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