F(x)=ln(-6x)

Solution for F(x)=ln(-6x) equation:

Simplifying
F(x) = ln(-6x)

Multiply F * x
xF = ln(-6x)

Remove parenthesis around (-6x)
xF = ln * -6x

Reorder the terms for easier multiplication:
xF = -6ln * x

Multiply ln * x
xF = -6lnx

Solving
xF = -6lnx

Solving for variable 'x'.

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

Add '6lnx' to each side of the equation.
6lnx + xF = -6lnx + 6lnx

Combine like terms: -6lnx + 6lnx = 0
6lnx + xF = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(6ln + F) = 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 '(6ln + F)' equal to zero and attempt to solve:

Simplifying
6ln + F = 0

Reorder the terms:
F + 6ln = 0

Solving
F + 6ln = 0

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

Add '-1F' to each side of the equation.
F + -1F + 6ln = 0 + -1F

Combine like terms: F + -1F = 0
0 + 6ln = 0 + -1F
6ln = 0 + -1F
Remove the zero:
6ln = -1F

Add '-6ln' to each side of the equation.
6ln + -6ln = -1F + -6ln

Combine like terms: 6ln + -6ln = 0
0 = -1F + -6ln

Simplifying
0 = -1F + -6ln

The solution to this equation could not be determined.

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