s^2-10s-96=

Solution for s^2-10s-96= equation:

Simplifying
s2 + -10s + -96 = 0

Reorder the terms:
-96 + -10s + s2 = 0

Solving
-96 + -10s + s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-6 + -1s)(16 + -1s) = 0

Subproblem 1
Set the factor '(-6 + -1s)' equal to zero and attempt to solve:

Simplifying
-6 + -1s = 0

Solving
-6 + -1s = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1s = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1s = 0 + 6
-1s = 0 + 6

Combine like terms: 0 + 6 = 6
-1s = 6

Divide each side by '-1'.
s = -6

Simplifying
s = -6
Subproblem 2
Set the factor '(16 + -1s)' equal to zero and attempt to solve:

Simplifying
16 + -1s = 0

Solving
16 + -1s = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1s = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1s = 0 + -16
-1s = 0 + -16

Combine like terms: 0 + -16 = -16
-1s = -16

Divide each side by '-1'.
s = 16

Simplifying
s = 16
Solution
s = {-6, 16}