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Simplifying l(2l + -5) = 18 Reorder the terms: l(-5 + 2l) = 18 (-5 * l + 2l * l) = 18 (-5l + 2l2) = 18 Solving -5l + 2l2 = 18 Solving for variable 'l'. Reorder the terms: -18 + -5l + 2l2 = 18 + -18 Combine like terms: 18 + -18 = 0 -18 + -5l + 2l2 = 0 Factor a trinomial. (-2 + -1l)(9 + -2l) = 0Subproblem 1
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 = -2Subproblem 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 = {-2, 4.5}
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