2s^2+9s-26=0

Solution for 2s^2+9s-26=0 equation:

Simplifying
2s2 + 9s + -26 = 0

Reorder the terms:
-26 + 9s + 2s2 = 0

Solving
-26 + 9s + 2s2 = 0

Solving for variable 's'.

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

Subproblem 1
Set the factor '(-13 + -2s)' equal to zero and attempt to solve:

Simplifying
-13 + -2s = 0

Solving
-13 + -2s = 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 + -2s = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -2s = 0 + 13
-2s = 0 + 13

Combine like terms: 0 + 13 = 13
-2s = 13

Divide each side by '-2'.
s = -6.5

Simplifying
s = -6.5
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 = {-6.5, 2}