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Simplifying 23l + -1l2 + -90 = 0 Reorder the terms: -90 + 23l + -1l2 = 0 Solving -90 + 23l + -1l2 = 0 Solving for variable 'l'. Factor a trinomial. (-18 + l)(5 + -1l) = 0Subproblem 1
Set the factor '(-18 + l)' equal to zero and attempt to solve: Simplifying -18 + l = 0 Solving -18 + l = 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 + l = 0 + 18 Combine like terms: -18 + 18 = 0 0 + l = 0 + 18 l = 0 + 18 Combine like terms: 0 + 18 = 18 l = 18 Simplifying l = 18Subproblem 2
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 = 5Solution
l = {18, 5}
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