28s^2-92s+24=

Solution for 28s^2-92s+24= equation:

Simplifying
28s2 + -92s + 24 = 0

Reorder the terms:
24 + -92s + 28s2 = 0

Solving
24 + -92s + 28s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '4'.
4(6 + -23s + 7s2) = 0

Factor a trinomial.
4((2 + -7s)(3 + -1s)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(2 + -7s)' equal to zero and attempt to solve:

Simplifying
2 + -7s = 0

Solving
2 + -7s = 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 + -7s = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -7s = 0 + -2
-7s = 0 + -2

Combine like terms: 0 + -2 = -2
-7s = -2

Divide each side by '-7'.
s = 0.2857142857

Simplifying
s = 0.2857142857
Subproblem 2
Set the factor '(3 + -1s)' equal to zero and attempt to solve:

Simplifying
3 + -1s = 0

Solving
3 + -1s = 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 + -1s = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1s = 0 + -3
-1s = 0 + -3

Combine like terms: 0 + -3 = -3
-1s = -3

Divide each side by '-1'.
s = 3

Simplifying
s = 3
Solution
s = {0.2857142857, 3}