4s^2-96s-100=0

Solution for 4s^2-96s-100=0 equation:

Simplifying
4s2 + -96s + -100 = 0

Reorder the terms:
-100 + -96s + 4s2 = 0

Solving
-100 + -96s + 4s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-25 + -24s + s2) = 0

Factor a trinomial.
4((-1 + -1s)(25 + -1s)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-1 + -1s)' equal to zero and attempt to solve:

Simplifying
-1 + -1s = 0

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

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

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

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

Simplifying
s = -1
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 = {-1, 25}