N(7n-3)=0

Solution for N(7n-3)=0 equation:

Simplifying
N(7n + -3) = 0

Reorder the terms:
N(-3 + 7n) = 0
(-3 * N + 7n * N) = 0
(-3N + 7nN) = 0

Solving
-3N + 7nN = 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), 'N'.
N(-3 + 7n) = 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 + 7n)' equal to zero and attempt to solve:

Simplifying
-3 + 7n = 0

Solving
-3 + 7n = 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 + 7n = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 7n = 0 + 3
7n = 0 + 3

Combine like terms: 0 + 3 = 3
7n = 3

Add '-7n' to each side of the equation.
7n + -7n = 3 + -7n

Combine like terms: 7n + -7n = 0
0 = 3 + -7n

Simplifying
0 = 3 + -7n

The solution to this equation could not be determined.

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