4s^2-20s-11=0

Solution for 4s^2-20s-11=0 equation:

Simplifying
4s2 + -20s + -11 = 0

Reorder the terms:
-11 + -20s + 4s2 = 0

Solving
-11 + -20s + 4s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-1 + -2s)(11 + -2s) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(11 + -2s)' equal to zero and attempt to solve:

Simplifying
11 + -2s = 0

Solving
11 + -2s = 0

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

Add '-11' to each side of the equation.
11 + -11 + -2s = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -2s = 0 + -11
-2s = 0 + -11

Combine like terms: 0 + -11 = -11
-2s = -11

Divide each side by '-2'.
s = 5.5

Simplifying
s = 5.5
Solution
s = {-0.5, 5.5}