x=n*x

Solution for x=n*x equation:

Simplifying
x = n * x

Multiply n * x
x = nx

Solving
x = nx

Solving for variable 'x'.

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

Add '-1nx' to each side of the equation.
-1nx + x = nx + -1nx

Combine like terms: nx + -1nx = 0
-1nx + x = 0

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

Simplifying
-1n + 1 = 0

Reorder the terms:
1 + -1n = 0

Solving
1 + -1n = 0

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

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

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

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

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

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

Simplifying
0 = -1 + n

The solution to this equation could not be determined.

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