n=o(2n)

Solution for n=o(2n) equation:

Simplifying
n = o(2n)

Remove parenthesis around (2n)
n = o * 2n

Reorder the terms for easier multiplication:
n = 2o * n

Multiply o * n
n = 2no

Solving
n = 2no

Solving for variable 'n'.

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

Add '-2no' to each side of the equation.
n + -2no = 2no + -2no

Combine like terms: 2no + -2no = 0
n + -2no = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(1 + -2o) = 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 '(1 + -2o)' equal to zero and attempt to solve:

Simplifying
1 + -2o = 0

Solving
1 + -2o = 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 + -2o = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2o = 0 + -1
-2o = 0 + -1

Combine like terms: 0 + -1 = -1
-2o = -1

Add '2o' to each side of the equation.
-2o + 2o = -1 + 2o

Combine like terms: -2o + 2o = 0
0 = -1 + 2o

Simplifying
0 = -1 + 2o

The solution to this equation could not be determined.

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