F(x)=ln(abs(5x))

Solution for F(x)=ln(abs(5x)) equation:

Simplifying
F(x) = ln(abs(5x))

Multiply F * x
xF = ln(abs(5x))

Remove parenthesis around (5x)
xF = ln(abs * 5x)

Reorder the terms for easier multiplication:
xF = ln(5abs * x)

Multiply abs * x
xF = ln(5absx)

Remove parenthesis around (5absx)
xF = ln * 5absx

Reorder the terms for easier multiplication:
xF = 5ln * absx

Multiply ln * absx
xF = 5ablnsx

Solving
xF = 5ablnsx

Solving for variable 'x'.

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

Add '-5ablnsx' to each side of the equation.
-5ablnsx + xF = 5ablnsx + -5ablnsx

Combine like terms: 5ablnsx + -5ablnsx = 0
-5ablnsx + xF = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-5ablns + 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 '(-5ablns + F)' equal to zero and attempt to solve:

Simplifying
-5ablns + F = 0

Reorder the terms:
F + -5ablns = 0

Solving
F + -5ablns = 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 + -5ablns = 0 + -1F

Combine like terms: F + -1F = 0
0 + -5ablns = 0 + -1F
-5ablns = 0 + -1F
Remove the zero:
-5ablns = -1F

Add '5ablns' to each side of the equation.
-5ablns + 5ablns = -1F + 5ablns

Combine like terms: -5ablns + 5ablns = 0
0 = -1F + 5ablns

Simplifying
0 = -1F + 5ablns

The solution to this equation could not be determined.

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