x^2=nx

Solution for x^2=nx equation:

Simplifying
x2 = nx

Solving
x2 = nx

Solving for variable 'x'.

Reorder the terms:
-1nx + x2 = nx + -1nx

Combine like terms: nx + -1nx = 0
-1nx + x2 = 0

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

Simplifying
-1n + x = 0

Solving
-1n + x = 0

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

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

Combine like terms: -1n + n = 0
0 + x = 0 + n
x = 0 + n
Remove the zero:
x = n

Simplifying
x = n
Solution
x = {0, n}