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Simplifying 2l2 + l = 45 Reorder the terms: l + 2l2 = 45 Solving l + 2l2 = 45 Solving for variable 'l'. Reorder the terms: -45 + l + 2l2 = 45 + -45 Combine like terms: 45 + -45 = 0 -45 + l + 2l2 = 0 Factor a trinomial. (-5 + -1l)(9 + -2l) = 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 '(9 + -2l)' equal to zero and attempt to solve: Simplifying 9 + -2l = 0 Solving 9 + -2l = 0 Move all terms containing l to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2l = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2l = 0 + -9 -2l = 0 + -9 Combine like terms: 0 + -9 = -9 -2l = -9 Divide each side by '-2'. l = 4.5 Simplifying l = 4.5Solution
l = {-5, 4.5}
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