ln(ln+x)=0

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

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

Reorder the terms:
(lnx + l2n2) = 0
(lnx + l2n2) = 0

Solving
lnx + l2n2 = 0

Solving for variable 'l'.

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(x + ln) = 0

Subproblem 1
Set the factor 'ln' equal to zero and attempt to solve:

Simplifying
ln = 0

Solving
ln = 0

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

Simplifying
ln = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(x + ln)' equal to zero and attempt to solve:

Simplifying
x + ln = 0

Reorder the terms:
ln + x = 0

Solving
ln + x = 0

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

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

Combine like terms: x + -1x = 0
ln + 0 = 0 + -1x
ln = 0 + -1x
Remove the zero:
ln = -1x

Divide each side by 'n'.
l = -1n-1x

Simplifying
l = -1n-1x
Solution
l = {-1n-1x}