5s^2-16s+12=0

Solution for 5s^2-16s+12=0 equation:

Simplifying
5s2 + -16s + 12 = 0

Reorder the terms:
12 + -16s + 5s2 = 0

Solving
12 + -16s + 5s2 = 0

Solving for variable 's'.

Factor a trinomial.
(6 + -5s)(2 + -1s) = 0

Subproblem 1
Set the factor '(6 + -5s)' equal to zero and attempt to solve:

Simplifying
6 + -5s = 0

Solving
6 + -5s = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5s = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5s = 0 + -6
-5s = 0 + -6

Combine like terms: 0 + -6 = -6
-5s = -6

Divide each side by '-5'.
s = 1.2

Simplifying
s = 1.2
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 = {1.2, 2}