0=6s^2-11s+4

Solution for 0=6s^2-11s+4 equation:

Simplifying
0 = 6s2 + -11s + 4

Reorder the terms:
0 = 4 + -11s + 6s2

Solving
0 = 4 + -11s + 6s2

Solving for variable 's'.

Combine like terms: 0 + -4 = -4
-4 + 11s + -6s2 = 4 + -11s + 6s2 + -4 + 11s + -6s2

Reorder the terms:
-4 + 11s + -6s2 = 4 + -4 + -11s + 11s + 6s2 + -6s2

Combine like terms: 4 + -4 = 0
-4 + 11s + -6s2 = 0 + -11s + 11s + 6s2 + -6s2
-4 + 11s + -6s2 = -11s + 11s + 6s2 + -6s2

Combine like terms: -11s + 11s = 0
-4 + 11s + -6s2 = 0 + 6s2 + -6s2
-4 + 11s + -6s2 = 6s2 + -6s2

Combine like terms: 6s2 + -6s2 = 0
-4 + 11s + -6s2 = 0

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

Subproblem 1
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
Subproblem 2
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
Solution
s = {1.333333333, 0.5}