s^2-34s-336=0

Solution for s^2-34s-336=0 equation:

Simplifying
s2 + -34s + -336 = 0

Reorder the terms:
-336 + -34s + s2 = 0

Solving
-336 + -34s + s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-8 + -1s)(42 + -1s) = 0

Subproblem 1
Set the factor '(-8 + -1s)' equal to zero and attempt to solve:

Simplifying
-8 + -1s = 0

Solving
-8 + -1s = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1s = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1s = 0 + 8
-1s = 0 + 8

Combine like terms: 0 + 8 = 8
-1s = 8

Divide each side by '-1'.
s = -8

Simplifying
s = -8
Subproblem 2
Set the factor '(42 + -1s)' equal to zero and attempt to solve:

Simplifying
42 + -1s = 0

Solving
42 + -1s = 0

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

Add '-42' to each side of the equation.
42 + -42 + -1s = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -1s = 0 + -42
-1s = 0 + -42

Combine like terms: 0 + -42 = -42
-1s = -42

Divide each side by '-1'.
s = 42

Simplifying
s = 42
Solution
s = {-8, 42}