(x-2)ln(1-x)-1=0

Solution for (x-2)ln(1-x)-1=0 equation:

Simplifying
(x + -2) * ln(1 + -1x) + -1 = 0

Reorder the terms:
(-2 + x) * ln(1 + -1x) + -1 = 0

Reorder the terms for easier multiplication:
ln(-2 + x)(1 + -1x) + -1 = 0

Multiply (-2 + x) * (1 + -1x)
ln(-2(1 + -1x) + x(1 + -1x)) + -1 = 0
ln((1 * -2 + -1x * -2) + x(1 + -1x)) + -1 = 0
ln((-2 + 2x) + x(1 + -1x)) + -1 = 0
ln(-2 + 2x + (1 * x + -1x * x)) + -1 = 0
ln(-2 + 2x + (1x + -1x2)) + -1 = 0

Combine like terms: 2x + 1x = 3x
ln(-2 + 3x + -1x2) + -1 = 0
(-2 * ln + 3x * ln + -1x2 * ln) + -1 = 0
(-2ln + 3lnx + -1lnx2) + -1 = 0

Reorder the terms:
-1 + -2ln + 3lnx + -1lnx2 = 0

Solving
-1 + -2ln + 3lnx + -1lnx2 = 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 + -2ln + 3lnx + 1 + -1lnx2 = 0 + 1

Reorder the terms:
-1 + 1 + -2ln + 3lnx + -1lnx2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2ln + 3lnx + -1lnx2 = 0 + 1
-2ln + 3lnx + -1lnx2 = 0 + 1

Combine like terms: 0 + 1 = 1
-2ln + 3lnx + -1lnx2 = 1

Reorder the terms:
-1 + -2ln + 3lnx + -1lnx2 = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -2ln + 3lnx + -1lnx2 = 0

The solution to this equation could not be determined.