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Simplifying x(1 + 2ln(x)) = 0 Multiply ln * x x(1 + 2lnx) = 0 (1 * x + 2lnx * x) = 0 Reorder the terms: (2lnx2 + 1x) = 0 (2lnx2 + 1x) = 0 Solving 2lnx2 + 1x = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1x' to each side of the equation. 2lnx2 + 1x + -1x = 0 + -1x Combine like terms: 1x + -1x = 0 2lnx2 + 0 = 0 + -1x 2lnx2 = 0 + -1x Remove the zero: 2lnx2 = -1x Divide each side by '2nx2'. l = -0.5n-1x-1 Simplifying l = -0.5n-1x-1
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