2s^2+25s-13=0

Solution for 2s^2+25s-13=0 equation:

Simplifying
2s2 + 25s + -13 = 0

Reorder the terms:
-13 + 25s + 2s2 = 0

Solving
-13 + 25s + 2s2 = 0

Solving for variable 's'.

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

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

Simplifying
-13 + -1s = 0

Solving
-13 + -1s = 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 + -1s = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -1s = 0 + 13
-1s = 0 + 13

Combine like terms: 0 + 13 = 13
-1s = 13

Divide each side by '-1'.
s = -13

Simplifying
s = -13
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 = {-13, 0.5}