(s+1)(9s+1)=0

Solution for (s+1)(9s+1)=0 equation:

Simplifying
(s + 1)(9s + 1) = 0

Reorder the terms:
(1 + s)(9s + 1) = 0

Reorder the terms:
(1 + s)(1 + 9s) = 0

Multiply (1 + s) * (1 + 9s)
(1(1 + 9s) + s(1 + 9s)) = 0
((1 * 1 + 9s * 1) + s(1 + 9s)) = 0
((1 + 9s) + s(1 + 9s)) = 0
(1 + 9s + (1 * s + 9s * s)) = 0
(1 + 9s + (1s + 9s2)) = 0

Combine like terms: 9s + 1s = 10s
(1 + 10s + 9s2) = 0

Solving
1 + 10s + 9s2 = 0

Solving for variable 's'.

Factor a trinomial.
(1 + s)(1 + 9s) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(1 + 9s)' equal to zero and attempt to solve:

Simplifying
1 + 9s = 0

Solving
1 + 9s = 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 + 9s = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 9s = 0 + -1
9s = 0 + -1

Combine like terms: 0 + -1 = -1
9s = -1

Divide each side by '9'.
s = -0.1111111111

Simplifying
s = -0.1111111111
Solution
s = {-1, -0.1111111111}