3s^2-14s+11=0

Solution for 3s^2-14s+11=0 equation:

Simplifying
3s2 + -14s + 11 = 0

Reorder the terms:
11 + -14s + 3s2 = 0

Solving
11 + -14s + 3s2 = 0

Solving for variable 's'.

Factor a trinomial.
(1 + -1s)(11 + -3s) = 0

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

Simplifying
1 + -1s = 0

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

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

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

Divide each side by '-1'.
s = 1

Simplifying
s = 1
Subproblem 2
Set the factor '(11 + -3s)' equal to zero and attempt to solve:

Simplifying
11 + -3s = 0

Solving
11 + -3s = 0

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

Add '-11' to each side of the equation.
11 + -11 + -3s = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -3s = 0 + -11
-3s = 0 + -11

Combine like terms: 0 + -11 = -11
-3s = -11

Divide each side by '-3'.
s = 3.666666667

Simplifying
s = 3.666666667
Solution
s = {1, 3.666666667}