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Simplifying 2l = 2l(6 + 17) * 2l Combine like terms: 6 + 17 = 23 2l = 2l(23) * 2l Reorder the terms for easier multiplication: 2l = 2 * 23 * 2l * l Multiply 2 * 23 2l = 46 * 2l * l Multiply 46 * 2 2l = 92l * l Multiply l * l 2l = 92l2 Solving 2l = 92l2 Solving for variable 'l'. Combine like terms: 92l2 + -92l2 = 0 2l + -92l2 = 0 Factor out the Greatest Common Factor (GCF), '2l'. 2l(1 + -46l) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'l' equal to zero and attempt to solve: Simplifying l = 0 Solving l = 0 Move all terms containing l to the left, all other terms to the right. Simplifying l = 0Subproblem 2
Set the factor '(1 + -46l)' equal to zero and attempt to solve: Simplifying 1 + -46l = 0 Solving 1 + -46l = 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 + -46l = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -46l = 0 + -1 -46l = 0 + -1 Combine like terms: 0 + -1 = -1 -46l = -1 Divide each side by '-46'. l = 0.02173913043 Simplifying l = 0.02173913043Solution
l = {0, 0.02173913043}
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