(x-1)-(x+1)ln(x+1)=0

Solution for (x-1)-(x+1)ln(x+1)=0 equation:

Simplifying
(x + -1) + -1(x + 1) * ln(x + 1) = 0

Reorder the terms:
(-1 + x) + -1(x + 1) * ln(x + 1) = 0

Remove parenthesis around (-1 + x)
-1 + x + -1(x + 1) * ln(x + 1) = 0

Reorder the terms:
-1 + x + -1(1 + x) * ln(x + 1) = 0

Reorder the terms:
-1 + x + -1(1 + x) * ln(1 + x) = 0

Reorder the terms for easier multiplication:
-1 + x + -1ln(1 + x)(1 + x) = 0

Multiply (1 + x) * (1 + x)
-1 + x + -1ln(1(1 + x) + x(1 + x)) = 0
-1 + x + -1ln((1 * 1 + x * 1) + x(1 + x)) = 0
-1 + x + -1ln((1 + 1x) + x(1 + x)) = 0
-1 + x + -1ln(1 + 1x + (1 * x + x * x)) = 0
-1 + x + -1ln(1 + 1x + (1x + x2)) = 0

Combine like terms: 1x + 1x = 2x
-1 + x + -1ln(1 + 2x + x2) = 0
-1 + x + (1 * -1ln + 2x * -1ln + x2 * -1ln) = 0
-1 + x + (-1ln + -2lnx + -1lnx2) = 0

Reorder the terms:
-1 + -1ln + -2lnx + -1lnx2 + x = 0

Solving
-1 + -1ln + -2lnx + -1lnx2 + 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 + -1ln + -2lnx + -1lnx2 + 1 + x = 0 + 1

Reorder the terms:
-1 + 1 + -1ln + -2lnx + -1lnx2 + x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1ln + -2lnx + -1lnx2 + x = 0 + 1
-1ln + -2lnx + -1lnx2 + x = 0 + 1

Combine like terms: 0 + 1 = 1
-1ln + -2lnx + -1lnx2 + x = 1

Add '-1x' to each side of the equation.
-1ln + -2lnx + -1lnx2 + x + -1x = 1 + -1x

Combine like terms: x + -1x = 0
-1ln + -2lnx + -1lnx2 + 0 = 1 + -1x
-1ln + -2lnx + -1lnx2 = 1 + -1x

Reorder the terms:
-1 + -1ln + -2lnx + -1lnx2 + x = 1 + -1x + -1 + x

Reorder the terms:
-1 + -1ln + -2lnx + -1lnx2 + x = 1 + -1 + -1x + x

Combine like terms: 1 + -1 = 0
-1 + -1ln + -2lnx + -1lnx2 + x = 0 + -1x + x
-1 + -1ln + -2lnx + -1lnx2 + x = -1x + x

Combine like terms: -1x + x = 0
-1 + -1ln + -2lnx + -1lnx2 + x = 0

The solution to this equation could not be determined.