10s^2-23s+9=0

Solution for 10s^2-23s+9=0 equation:

Simplifying
10s2 + -23s + 9 = 0

Reorder the terms:
9 + -23s + 10s2 = 0

Solving
9 + -23s + 10s2 = 0

Solving for variable 's'.

Factor a trinomial.
(1 + -2s)(9 + -5s) = 0

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

Simplifying
1 + -2s = 0

Solving
1 + -2s = 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 + -2s = 0 + -1

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

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

Divide each side by '-2'.
s = 0.5

Simplifying
s = 0.5
Subproblem 2
Set the factor '(9 + -5s)' equal to zero and attempt to solve:

Simplifying
9 + -5s = 0

Solving
9 + -5s = 0

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

Add '-9' to each side of the equation.
9 + -9 + -5s = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -5s = 0 + -9
-5s = 0 + -9

Combine like terms: 0 + -9 = -9
-5s = -9

Divide each side by '-5'.
s = 1.8

Simplifying
s = 1.8
Solution
s = {0.5, 1.8}