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