x=ln(-7x)

Solution for x=ln(-7x) equation:

Simplifying
x = ln(-7x)

Remove parenthesis around (-7x)
x = ln * -7x

Reorder the terms for easier multiplication:
x = -7ln * x

Multiply ln * x
x = -7lnx

Solving
x = -7lnx

Solving for variable 'x'.

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

Add '7lnx' to each side of the equation.
7lnx + x = -7lnx + 7lnx

Combine like terms: -7lnx + 7lnx = 0
7lnx + x = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(7ln + 1) = 0

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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(7ln + 1)' equal to zero and attempt to solve:

Simplifying
7ln + 1 = 0

Reorder the terms:
1 + 7ln = 0

Solving
1 + 7ln = 0

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

Add '-1' to each side of the equation.
1 + -1 + 7ln = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 7ln = 0 + -1
7ln = 0 + -1

Combine like terms: 0 + -1 = -1
7ln = -1

Add '-7ln' to each side of the equation.
7ln + -7ln = -1 + -7ln

Combine like terms: 7ln + -7ln = 0
0 = -1 + -7ln

Simplifying
0 = -1 + -7ln

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}