n=8lg(n)

Solution for n=8lg(n) equation:

Simplifying
n = 8lg(n)

Multiply gl * n
n = 8gln

Solving
n = 8gln

Solving for variable 'n'.

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

Add '-8gln' to each side of the equation.
-8gln + n = 8gln + -8gln

Combine like terms: 8gln + -8gln = 0
-8gln + n = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-8gl + 1) = 0

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 '(-8gl + 1)' equal to zero and attempt to solve:

Simplifying
-8gl + 1 = 0

Reorder the terms:
1 + -8gl = 0

Solving
1 + -8gl = 0

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

Add '-1' to each side of the equation.
1 + -1 + -8gl = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -8gl = 0 + -1
-8gl = 0 + -1

Combine like terms: 0 + -1 = -1
-8gl = -1

Add '8gl' to each side of the equation.
-8gl + 8gl = -1 + 8gl

Combine like terms: -8gl + 8gl = 0
0 = -1 + 8gl

Simplifying
0 = -1 + 8gl

The solution to this equation could not be determined.

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