(2N)*(3n)-6N=

Solution for (2N)*(3n)-6N= equation:

Simplifying
(2N)(3n) + -6N = 0

Remove parenthesis around (2N)
2N(3n) + -6N = 0

Remove parenthesis around (3n)
2N * 3n + -6N = 0

Reorder the terms for easier multiplication:
2 * 3N * n + -6N = 0

Multiply 2 * 3
6N * n + -6N = 0

Multiply N * n
6nN + -6N = 0

Reorder the terms:
-6N + 6nN = 0

Solving
-6N + 6nN = 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), '6N'.
6N(-1 + n) = 0

Ignore the factor 6.
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 + n)' equal to zero and attempt to solve:

Simplifying
-1 + n = 0

Solving
-1 + n = 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 + n = 0 + 1

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

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

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

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

Simplifying
0 = 1 + -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}