x-xln(x)-0.1=0

Solution for x-xln(x)-0.1=0 equation:

Simplifying
x + -1xln(x) + -0.1 = 0

Multiply lnx * x
x + -1lnx2 + -0.1 = 0

Reorder the terms:
-0.1 + -1lnx2 + x = 0

Solving
-0.1 + -1lnx2 + x = 0

Solving for variable 'l'.

Move all terms containing l to the left, all other terms to the right.

Add '0.1' to each side of the equation.
-0.1 + -1lnx2 + 0.1 + x = 0 + 0.1

Reorder the terms:
-0.1 + 0.1 + -1lnx2 + x = 0 + 0.1

Combine like terms: -0.1 + 0.1 = 0.0
0.0 + -1lnx2 + x = 0 + 0.1
-1lnx2 + x = 0 + 0.1

Combine like terms: 0 + 0.1 = 0.1
-1lnx2 + x = 0.1

Add '-1x' to each side of the equation.
-1lnx2 + x + -1x = 0.1 + -1x

Combine like terms: x + -1x = 0
-1lnx2 + 0 = 0.1 + -1x
-1lnx2 = 0.1 + -1x

Divide each side by '-1nx2'.
l = -0.1n-1x-2 + n-1x-1

Simplifying
l = -0.1n-1x-2 + n-1x-1