12s^2-22s+8=0

Solution for 12s^2-22s+8=0 equation:

Simplifying
12s2 + -22s + 8 = 0

Reorder the terms:
8 + -22s + 12s2 = 0

Solving
8 + -22s + 12s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + -11s + 6s2) = 0

Factor a trinomial.
2((1 + -2s)(4 + -3s)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(1 + -2s)' equal to zero and attempt to solve:

Simplifying
1 + -2s = 0

Solving
1 + -2s = 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 + -2s = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2s = 0 + -1
-2s = 0 + -1

Combine like terms: 0 + -1 = -1
-2s = -1

Divide each side by '-2'.
s = 0.5

Simplifying
s = 0.5
Subproblem 2
Set the factor '(4 + -3s)' equal to zero and attempt to solve:

Simplifying
4 + -3s = 0

Solving
4 + -3s = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3s = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3s = 0 + -4
-3s = 0 + -4

Combine like terms: 0 + -4 = -4
-3s = -4

Divide each side by '-3'.
s = 1.333333333

Simplifying
s = 1.333333333
Solution
s = {0.5, 1.333333333}