nt+4n=n

Solution for nt+4n=n equation:

Simplifying
nt + 4n = n

Reorder the terms:
4n + nt = n

Solving
4n + nt = n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
4n + -1n + nt = n + -1n

Combine like terms: 4n + -1n = 3n
3n + nt = n + -1n

Combine like terms: n + -1n = 0
3n + nt = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(3 + t) = 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 '(3 + t)' equal to zero and attempt to solve:

Simplifying
3 + t = 0

Solving
3 + t = 0

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

Add '-3' to each side of the equation.
3 + -3 + t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + t = 0 + -3
t = 0 + -3

Combine like terms: 0 + -3 = -3
t = -3

Add '-1t' to each side of the equation.
t + -1t = -3 + -1t

Combine like terms: t + -1t = 0
0 = -3 + -1t

Simplifying
0 = -3 + -1t

The solution to this equation could not be determined.

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