3s^2-13s+4=0

Solution for 3s^2-13s+4=0 equation:

Simplifying
3s2 + -13s + 4 = 0

Reorder the terms:
4 + -13s + 3s2 = 0

Solving
4 + -13s + 3s2 = 0

Solving for variable 's'.

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

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 '(4 + -1s)' equal to zero and attempt to solve:

Simplifying
4 + -1s = 0

Solving
4 + -1s = 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 + -1s = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1s = 0 + -4
-1s = 0 + -4

Combine like terms: 0 + -4 = -4
-1s = -4

Divide each side by '-1'.
s = 4

Simplifying
s = 4
Solution
s = {0.3333333333, 4}