40s^2=5s

Solution for 40s^2=5s equation:

Simplifying
40s2 = 5s

Solving
40s2 = 5s

Solving for variable 's'.

Reorder the terms:
-5s + 40s2 = 5s + -5s

Combine like terms: 5s + -5s = 0
-5s + 40s2 = 0

Factor out the Greatest Common Factor (GCF), '5s'.
5s(-1 + 8s) = 0

Ignore the factor 5.
Subproblem 1
Set the factor 's' equal to zero and attempt to solve:

Simplifying
s = 0

Solving
s = 0

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

Simplifying
s = 0
Subproblem 2
Set the factor '(-1 + 8s)' equal to zero and attempt to solve:

Simplifying
-1 + 8s = 0

Solving
-1 + 8s = 0

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

Add '1' to each side of the equation.
-1 + 1 + 8s = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 8s = 0 + 1
8s = 0 + 1

Combine like terms: 0 + 1 = 1
8s = 1

Divide each side by '8'.
s = 0.125

Simplifying
s = 0.125
Solution
s = {0, 0.125}