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Simplifying 2L2 + -5L = 18 Reorder the terms: -5L + 2L2 = 18 Solving -5L + 2L2 = 18 Solving for variable 'L'. Reorder the terms: -18 + -5L + 2L2 = 18 + -18 Combine like terms: 18 + -18 = 0 -18 + -5L + 2L2 = 0 Factor a trinomial. (-2 + -1L)(9 + -2L) = 0Subproblem 1
Set the factor '(-2 + -1L)' equal to zero and attempt to solve: Simplifying -2 + -1L = 0 Solving -2 + -1L = 0 Move all terms containing L to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1L = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1L = 0 + 2 -1L = 0 + 2 Combine like terms: 0 + 2 = 2 -1L = 2 Divide each side by '-1'. L = -2 Simplifying L = -2Subproblem 2
Set the factor '(9 + -2L)' equal to zero and attempt to solve: Simplifying 9 + -2L = 0 Solving 9 + -2L = 0 Move all terms containing L to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2L = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2L = 0 + -9 -2L = 0 + -9 Combine like terms: 0 + -9 = -9 -2L = -9 Divide each side by '-2'. L = 4.5 Simplifying L = 4.5Solution
L = {-2, 4.5}
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