sn=5n^2

Solution for sn=5n^2 equation:

Simplifying
sn = 5n2

Solving
ns = 5n2

Solving for variable 'n'.

Combine like terms: 5n2 + -5n2 = 0
ns + -5n2 = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(s + -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 '(s + -5n)' equal to zero and attempt to solve:

Simplifying
s + -5n = 0

Reorder the terms:
-5n + s = 0

Solving
-5n + s = 0

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

Add '-1s' to each side of the equation.
-5n + s + -1s = 0 + -1s

Combine like terms: s + -1s = 0
-5n + 0 = 0 + -1s
-5n = 0 + -1s
Remove the zero:
-5n = -1s

Divide each side by '-5'.
n = 0.2s

Simplifying
n = 0.2s
Solution
n = {0, 0.2s}