6s^2+17s-45=0

Solution for 6s^2+17s-45=0 equation:

Simplifying
6s2 + 17s + -45 = 0

Reorder the terms:
-45 + 17s + 6s2 = 0

Solving
-45 + 17s + 6s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-9 + -2s)(5 + -3s) = 0

Subproblem 1
Set the factor '(-9 + -2s)' equal to zero and attempt to solve:

Simplifying
-9 + -2s = 0

Solving
-9 + -2s = 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 + -2s = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -2s = 0 + 9
-2s = 0 + 9

Combine like terms: 0 + 9 = 9
-2s = 9

Divide each side by '-2'.
s = -4.5

Simplifying
s = -4.5
Subproblem 2
Set the factor '(5 + -3s)' equal to zero and attempt to solve:

Simplifying
5 + -3s = 0

Solving
5 + -3s = 0

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

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

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

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

Divide each side by '-3'.
s = 1.666666667

Simplifying
s = 1.666666667
Solution
s = {-4.5, 1.666666667}