8s^2-70s+17=

Solution for 8s^2-70s+17= equation:

Simplifying
8s2 + -70s + 17 = 0

Reorder the terms:
17 + -70s + 8s2 = 0

Solving
17 + -70s + 8s2 = 0

Solving for variable 's'.

Factor a trinomial.
(1 + -4s)(17 + -2s) = 0

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

Simplifying
1 + -4s = 0

Solving
1 + -4s = 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 + -4s = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4s = 0 + -1
-4s = 0 + -1

Combine like terms: 0 + -1 = -1
-4s = -1

Divide each side by '-4'.
s = 0.25

Simplifying
s = 0.25
Subproblem 2
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
Solution
s = {0.25, 8.5}