2s^2+17s+35=0

Solution for 2s^2+17s+35=0 equation:

Simplifying
2s2 + 17s + 35 = 0

Reorder the terms:
35 + 17s + 2s2 = 0

Solving
35 + 17s + 2s2 = 0

Solving for variable 's'.

Factor a trinomial.
(5 + s)(7 + 2s) = 0

Subproblem 1
Set the factor '(5 + s)' equal to zero and attempt to solve:

Simplifying
5 + s = 0

Solving
5 + s = 0

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

Add '-5' to each side of the equation.
5 + -5 + s = 0 + -5

Combine like terms: 5 + -5 = 0
0 + s = 0 + -5
s = 0 + -5

Combine like terms: 0 + -5 = -5
s = -5

Simplifying
s = -5
Subproblem 2
Set the factor '(7 + 2s)' equal to zero and attempt to solve:

Simplifying
7 + 2s = 0

Solving
7 + 2s = 0

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

Add '-7' to each side of the equation.
7 + -7 + 2s = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2s = 0 + -7
2s = 0 + -7

Combine like terms: 0 + -7 = -7
2s = -7

Divide each side by '2'.
s = -3.5

Simplifying
s = -3.5
Solution
s = {-5, -3.5}