N(5n-2)=0

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Solution for N(5n-2)=0 equation: 


Simplifying
N(5n + -2) = 0

Reorder the terms:
N(-2 + 5n) = 0
(-2 * N + 5n * N) = 0
(-2N + 5nN) = 0

Solving
-2N + 5nN = 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(-2 + 5n) = 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 '(-2 + 5n)' equal to zero and attempt to solve:

Simplifying
-2 + 5n = 0

Solving
-2 + 5n = 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 + 5n = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 5n = 0 + 2
5n = 0 + 2

Combine like terms: 0 + 2 = 2
5n = 2

Add '-5n' to each side of the equation.
5n + -5n = 2 + -5n

Combine like terms: 5n + -5n = 0
0 = 2 + -5n

Simplifying
0 = 2 + -5n

The solution to this equation could not be determined.

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

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