6s(4s-1)=0

Solution for 6s(4s-1)=0 equation:

Simplifying
6s(4s + -1) = 0

Reorder the terms:
6s(-1 + 4s) = 0
(-1 * 6s + 4s * 6s) = 0
(-6s + 24s2) = 0

Solving
-6s + 24s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '6s'.
6s(-1 + 4s) = 0

Ignore the factor 6.
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 + 4s)' equal to zero and attempt to solve:

Simplifying
-1 + 4s = 0

Solving
-1 + 4s = 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 + 4s = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 4s = 0 + 1
4s = 0 + 1

Combine like terms: 0 + 1 = 1
4s = 1

Divide each side by '4'.
s = 0.25

Simplifying
s = 0.25
Solution
s = {0, 0.25}