n^4*n^2=n

Solution for n^4*n^2=n equation:

Simplifying
n4 * n2 = n

Multiply n4 * n2
n6 = n

Solving
n6 = n

Solving for variable 'n'.

Reorder the terms:
-1n + n6 = n + -1n

Combine like terms: n + -1n = 0
-1n + n6 = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-1 + n5) = 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 + n5)' equal to zero and attempt to solve:

Simplifying
-1 + n5 = 0

Solving
-1 + n5 = 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 + n5 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + n5 = 0 + 1
n5 = 0 + 1

Combine like terms: 0 + 1 = 1
n5 = 1

Simplifying
n5 = 1

The solution to this equation could not be determined.

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