Ln*20=ln*5*x

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Solution for Ln*20=ln*5*x equation: 


Simplifying
Ln * 20 = ln * 5x

Reorder the terms for easier multiplication:
20nL = ln * 5x

Reorder the terms for easier multiplication:
20nL = 5ln * x

Multiply ln * x
20nL = 5lnx

Solving
20nL = 5lnx

Solving for variable 'n'.

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

Add '-5lnx' to each side of the equation.
-5lnx + 20nL = 5lnx + -5lnx

Combine like terms: 5lnx + -5lnx = 0
-5lnx + 20nL = 0

Factor out the Greatest Common Factor (GCF), '5n'.
5n(-1lx + 4L) = 0

Ignore the factor 5.

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

Simplifying
n = 0

Solving
n = 0

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

Simplifying
n = 0

Subproblem 2
Set the factor '(-1lx + 4L)' equal to zero and attempt to solve:

Simplifying
-1lx + 4L = 0

Reorder the terms:
4L + -1lx = 0

Solving
4L + -1lx = 0

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

Add '-4L' to each side of the equation.
4L + -4L + -1lx = 0 + -4L

Combine like terms: 4L + -4L = 0
0 + -1lx = 0 + -4L
-1lx = 0 + -4L
Remove the zero:
-1lx = -4L

Add 'lx' to each side of the equation.
-1lx + lx = -4L + lx

Combine like terms: -1lx + lx = 0
0 = -4L + lx

Simplifying
0 = -4L + lx

The solution to this equation could not be determined.

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

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