36s^2-24s+4=0

Solution for 36s^2-24s+4=0 equation:

Simplifying
36s2 + -24s + 4 = 0

Reorder the terms:
4 + -24s + 36s2 = 0

Solving
4 + -24s + 36s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '4'.
4(1 + -6s + 9s2) = 0

Factor a trinomial.
4((1 + -3s)(1 + -3s)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(1 + -3s)' equal to zero and attempt to solve:

Simplifying
1 + -3s = 0

Solving
1 + -3s = 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 + -3s = 0 + -1

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

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

Divide each side by '-3'.
s = 0.3333333333

Simplifying
s = 0.3333333333
Subproblem 2
Set the factor '(1 + -3s)' equal to zero and attempt to solve:

Simplifying
1 + -3s = 0

Solving
1 + -3s = 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 + -3s = 0 + -1

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

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

Divide each side by '-3'.
s = 0.3333333333

Simplifying
s = 0.3333333333
Solution
s = {0.3333333333, 0.3333333333}