4s^2+8s-221=0

Solution for 4s^2+8s-221=0 equation:

Simplifying
4s2 + 8s + -221 = 0

Reorder the terms:
-221 + 8s + 4s2 = 0

Solving
-221 + 8s + 4s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-17 + -2s)(13 + -2s) = 0

Subproblem 1
Set the factor '(-17 + -2s)' equal to zero and attempt to solve:

Simplifying
-17 + -2s = 0

Solving
-17 + -2s = 0

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

Add '17' to each side of the equation.
-17 + 17 + -2s = 0 + 17

Combine like terms: -17 + 17 = 0
0 + -2s = 0 + 17
-2s = 0 + 17

Combine like terms: 0 + 17 = 17
-2s = 17

Divide each side by '-2'.
s = -8.5

Simplifying
s = -8.5
Subproblem 2
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
Solution
s = {-8.5, 6.5}