6s^2-13s+2=0

Solution for 6s^2-13s+2=0 equation:

Simplifying
6s2 + -13s + 2 = 0

Reorder the terms:
2 + -13s + 6s2 = 0

Solving
2 + -13s + 6s2 = 0

Solving for variable 's'.

Factor a trinomial.
(1 + -6s)(2 + -1s) = 0

Subproblem 1
Set the factor '(1 + -6s)' equal to zero and attempt to solve:

Simplifying
1 + -6s = 0

Solving
1 + -6s = 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 + -6s = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6s = 0 + -1
-6s = 0 + -1

Combine like terms: 0 + -1 = -1
-6s = -1

Divide each side by '-6'.
s = 0.1666666667

Simplifying
s = 0.1666666667
Subproblem 2
Set the factor '(2 + -1s)' equal to zero and attempt to solve:

Simplifying
2 + -1s = 0

Solving
2 + -1s = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1s = 0 + -2

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

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

Divide each side by '-1'.
s = 2

Simplifying
s = 2
Solution
s = {0.1666666667, 2}