s(n)=5n-2n

Solution for s(n)=5n-2n equation:

Simplifying
s(n) = 5n + -2n

Multiply s * n
ns = 5n + -2n

Combine like terms: 5n + -2n = 3n
ns = 3n

Solving
ns = 3n

Solving for variable 'n'.

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

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

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

Factor out the Greatest Common Factor (GCF), 'n'.
n(-3 + s) = 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 + s)' equal to zero and attempt to solve:

Simplifying
-3 + s = 0

Solving
-3 + s = 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 + s = 0 + 3

Combine like terms: -3 + 3 = 0
0 + s = 0 + 3
s = 0 + 3

Combine like terms: 0 + 3 = 3
s = 3

Add '-1s' to each side of the equation.
s + -1s = 3 + -1s

Combine like terms: s + -1s = 0
0 = 3 + -1s

Simplifying
0 = 3 + -1s

The solution to this equation could not be determined.

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