s^2+42s+41=0

Solution for s^2+42s+41=0 equation:

Simplifying
s2 + 42s + 41 = 0

Reorder the terms:
41 + 42s + s2 = 0

Solving
41 + 42s + s2 = 0

Solving for variable 's'.

Factor a trinomial.
(41 + s)(1 + s) = 0

Subproblem 1
Set the factor '(41 + s)' equal to zero and attempt to solve:

Simplifying
41 + s = 0

Solving
41 + s = 0

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

Add '-41' to each side of the equation.
41 + -41 + s = 0 + -41

Combine like terms: 41 + -41 = 0
0 + s = 0 + -41
s = 0 + -41

Combine like terms: 0 + -41 = -41
s = -41

Simplifying
s = -41
Subproblem 2
Set the factor '(1 + s)' equal to zero and attempt to solve:

Simplifying
1 + s = 0

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

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

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

Simplifying
s = -1
Solution
s = {-41, -1}