s^2-23s-50=0

Solution for s^2-23s-50=0 equation:

Simplifying
s2 + -23s + -50 = 0

Reorder the terms:
-50 + -23s + s2 = 0

Solving
-50 + -23s + s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-2 + -1s)(25 + -1s) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(25 + -1s)' equal to zero and attempt to solve:

Simplifying
25 + -1s = 0

Solving
25 + -1s = 0

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

Add '-25' to each side of the equation.
25 + -25 + -1s = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -1s = 0 + -25
-1s = 0 + -25

Combine like terms: 0 + -25 = -25
-1s = -25

Divide each side by '-1'.
s = 25

Simplifying
s = 25
Solution
s = {-2, 25}