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Simplifying l(20 + -1l) = 36 (20 * l + -1l * l) = 36 (20l + -1l2) = 36 Solving 20l + -1l2 = 36 Solving for variable 'l'. Reorder the terms: -36 + 20l + -1l2 = 36 + -36 Combine like terms: 36 + -36 = 0 -36 + 20l + -1l2 = 0 Factor a trinomial. (-18 + l)(2 + -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 '(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 = 2Solution
l = {18, 2}
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