N(3n-6)=0

Solution for N(3n-6)=0 equation:

Simplifying
N(3n + -6) = 0

Reorder the terms:
N(-6 + 3n) = 0
(-6 * N + 3n * N) = 0
(-6N + 3nN) = 0

Solving
-6N + 3nN = 0

Solving for variable 'N'.

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

Factor out the Greatest Common Factor (GCF), '3N'.
3N(-2 + n) = 0

Ignore the factor 3.
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 '(-2 + n)' equal to zero and attempt to solve:

Simplifying
-2 + n = 0

Solving
-2 + n = 0

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

Add '2' to each side of the equation.
-2 + 2 + n = 0 + 2

Combine like terms: -2 + 2 = 0
0 + n = 0 + 2
n = 0 + 2

Combine like terms: 0 + 2 = 2
n = 2

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

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

Simplifying
0 = 2 + -1n

The solution to this equation could not be determined.

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