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Simplifying 2l2 + 5l = 12 Reorder the terms: 5l + 2l2 = 12 Solving 5l + 2l2 = 12 Solving for variable 'l'. Reorder the terms: -12 + 5l + 2l2 = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + 5l + 2l2 = 0 Factor a trinomial. (-4 + -1l)(3 + -2l) = 0Subproblem 1
Set the factor '(-4 + -1l)' equal to zero and attempt to solve: Simplifying -4 + -1l = 0 Solving -4 + -1l = 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 + -1l = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1l = 0 + 4 -1l = 0 + 4 Combine like terms: 0 + 4 = 4 -1l = 4 Divide each side by '-1'. l = -4 Simplifying l = -4Subproblem 2
Set the factor '(3 + -2l)' equal to zero and attempt to solve: Simplifying 3 + -2l = 0 Solving 3 + -2l = 0 Move all terms containing l to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2l = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2l = 0 + -3 -2l = 0 + -3 Combine like terms: 0 + -3 = -3 -2l = -3 Divide each side by '-2'. l = 1.5 Simplifying l = 1.5Solution
l = {-4, 1.5}
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