s^2+8s+7=0

Solution for s^2+8s+7=0 equation:

Simplifying
s2 + 8s + 7 = 0

Reorder the terms:
7 + 8s + s2 = 0

Solving
7 + 8s + s2 = 0

Solving for variable 's'.

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

Subproblem 1
Set the factor '(7 + s)' equal to zero and attempt to solve:

Simplifying
7 + s = 0

Solving
7 + s = 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 + s = 0 + -7

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

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

Simplifying
s = -7
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 = {-7, -1}