o(n)=n*log(n)

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Solution for o(n)=n*log(n) equation: 


Simplifying
o(n) = n * log(n)

Multiply o * n
no = n * log(n)

Multiply n * glo
no = glno * n

Multiply glno * n
no = gln2o

Solving
no = gln2o

Solving for variable 'n'.

Reorder the terms:
-1gln2o + no = gln2o + -1gln2o

Combine like terms: gln2o + -1gln2o = 0
-1gln2o + no = 0

Factor out the Greatest Common Factor (GCF), 'no'.
no(-1gln + 1) = 0


Subproblem 1
Set the factor 'no' equal to zero and attempt to solve:

Simplifying
no = 0

Solving
no = 0

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

Simplifying
no = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

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

Simplifying
-1gln + 1 = 0

Reorder the terms:
1 + -1gln = 0

Solving
1 + -1gln = 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 + -1gln = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1gln = 0 + -1
-1gln = 0 + -1

Combine like terms: 0 + -1 = -1
-1gln = -1

Divide each side by '-1gl'.
n = g-1l-1

Simplifying
n = g-1l-1
Solution
n = {g-1l-1}

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