15s^2-19s+6=0

Solution for 15s^2-19s+6=0 equation:

Simplifying
15s2 + -19s + 6 = 0

Reorder the terms:
6 + -19s + 15s2 = 0

Solving
6 + -19s + 15s2 = 0

Solving for variable 's'.

Factor a trinomial.
(3 + -5s)(2 + -3s) = 0

Subproblem 1
Set the factor '(3 + -5s)' equal to zero and attempt to solve:

Simplifying
3 + -5s = 0

Solving
3 + -5s = 0

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

Add '-3' to each side of the equation.
3 + -3 + -5s = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5s = 0 + -3
-5s = 0 + -3

Combine like terms: 0 + -3 = -3
-5s = -3

Divide each side by '-5'.
s = 0.6

Simplifying
s = 0.6
Subproblem 2
Set the factor '(2 + -3s)' equal to zero and attempt to solve:

Simplifying
2 + -3s = 0

Solving
2 + -3s = 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 + -3s = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3s = 0 + -2
-3s = 0 + -2

Combine like terms: 0 + -2 = -2
-3s = -2

Divide each side by '-3'.
s = 0.6666666667

Simplifying
s = 0.6666666667
Solution
s = {0.6, 0.6666666667}