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Simplifying L2 + -23L + 90 = 0 Reorder the terms: 90 + -23L + L2 = 0 Solving 90 + -23L + L2 = 0 Solving for variable 'L'. Factor a trinomial. (5 + -1L)(18 + -1L) = 0Subproblem 1
Set the factor '(5 + -1L)' equal to zero and attempt to solve: Simplifying 5 + -1L = 0 Solving 5 + -1L = 0 Move all terms containing L to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1L = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1L = 0 + -5 -1L = 0 + -5 Combine like terms: 0 + -5 = -5 -1L = -5 Divide each side by '-1'. L = 5 Simplifying L = 5Subproblem 2
Set the factor '(18 + -1L)' equal to zero and attempt to solve: Simplifying 18 + -1L = 0 Solving 18 + -1L = 0 Move all terms containing L to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1L = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1L = 0 + -18 -1L = 0 + -18 Combine like terms: 0 + -18 = -18 -1L = -18 Divide each side by '-1'. L = 18 Simplifying L = 18Solution
L = {5, 18}
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