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Simplifying 20 = l2 + -1l Reorder the terms: 20 = -1l + l2 Solving 20 = -1l + l2 Solving for variable 'l'. Reorder the terms: 20 + l + -1l2 = -1l + l + l2 + -1l2 Combine like terms: -1l + l = 0 20 + l + -1l2 = 0 + l2 + -1l2 20 + l + -1l2 = l2 + -1l2 Combine like terms: l2 + -1l2 = 0 20 + l + -1l2 = 0 Factor a trinomial. (5 + -1l)(4 + l) = 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 '(4 + l)' equal to zero and attempt to solve: Simplifying 4 + l = 0 Solving 4 + l = 0 Move all terms containing l to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + l = 0 + -4 Combine like terms: 4 + -4 = 0 0 + l = 0 + -4 l = 0 + -4 Combine like terms: 0 + -4 = -4 l = -4 Simplifying l = -4Solution
l = {5, -4}
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