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Simplifying ln(x) * x(x + -2) + (1 + -1x) = 0 Reorder the terms: ln * x * x(-2 + x) + (1 + -1x) = 0 Multiply ln * x lnx * x(-2 + x) + (1 + -1x) = 0 Multiply lnx * x lnx2(-2 + x) + (1 + -1x) = 0 (-2 * lnx2 + x * lnx2) + (1 + -1x) = 0 (-2lnx2 + lnx3) + (1 + -1x) = 0 Remove parenthesis around (1 + -1x) -2lnx2 + lnx3 + 1 + -1x = 0 Reorder the terms: 1 + -2lnx2 + lnx3 + -1x = 0 Solving 1 + -2lnx2 + lnx3 + -1x = 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 + -2lnx2 + lnx3 + -1 + -1x = 0 + -1 Reorder the terms: 1 + -1 + -2lnx2 + lnx3 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2lnx2 + lnx3 + -1x = 0 + -1 -2lnx2 + lnx3 + -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -2lnx2 + lnx3 + -1x = -1 Add 'x' to each side of the equation. -2lnx2 + lnx3 + -1x + x = -1 + x Combine like terms: -1x + x = 0 -2lnx2 + lnx3 + 0 = -1 + x -2lnx2 + lnx3 = -1 + x Reorder the terms: 1 + -2lnx2 + lnx3 + -1x = -1 + x + 1 + -1x Reorder the terms: 1 + -2lnx2 + lnx3 + -1x = -1 + 1 + x + -1x Combine like terms: -1 + 1 = 0 1 + -2lnx2 + lnx3 + -1x = 0 + x + -1x 1 + -2lnx2 + lnx3 + -1x = x + -1x Combine like terms: x + -1x = 0 1 + -2lnx2 + lnx3 + -1x = 0 The solution to this equation could not be determined.
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