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Simplifying -1l2 + 13l + -12 = 0 Reorder the terms: -12 + 13l + -1l2 = 0 Solving -12 + 13l + -1l2 = 0 Solving for variable 'l'. Factor a trinomial. (-12 + l)(1 + -1l) = 0Subproblem 1
Set the factor '(-12 + l)' equal to zero and attempt to solve: Simplifying -12 + l = 0 Solving -12 + l = 0 Move all terms containing l to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + l = 0 + 12 Combine like terms: -12 + 12 = 0 0 + l = 0 + 12 l = 0 + 12 Combine like terms: 0 + 12 = 12 l = 12 Simplifying l = 12Subproblem 2
Set the factor '(1 + -1l)' equal to zero and attempt to solve: Simplifying 1 + -1l = 0 Solving 1 + -1l = 0 Move all terms containing l to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1l = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1l = 0 + -1 -1l = 0 + -1 Combine like terms: 0 + -1 = -1 -1l = -1 Divide each side by '-1'. l = 1 Simplifying l = 1Solution
l = {12, 1}
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