6s^2-13+23s=0

Solution for 6s^2-13+23s=0 equation:

Simplifying
6s2 + -13 + 23s = 0

Reorder the terms:
-13 + 23s + 6s2 = 0

Solving
-13 + 23s + 6s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-13 + -3s)(1 + -2s) = 0

Subproblem 1
Set the factor '(-13 + -3s)' equal to zero and attempt to solve:

Simplifying
-13 + -3s = 0

Solving
-13 + -3s = 0

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

Add '13' to each side of the equation.
-13 + 13 + -3s = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -3s = 0 + 13
-3s = 0 + 13

Combine like terms: 0 + 13 = 13
-3s = 13

Divide each side by '-3'.
s = -4.333333333

Simplifying
s = -4.333333333
Subproblem 2
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
Solution
s = {-4.333333333, 0.5}