(8b+1)(1b+1)=0

Solution for (8b+1)(1b+1)=0 equation:

Simplifying
(8b + 1)(1b + 1) = 0

Reorder the terms:
(1 + 8b)(1b + 1) = 0

Reorder the terms:
(1 + 8b)(1 + 1b) = 0

Multiply (1 + 8b) * (1 + 1b)
(1(1 + 1b) + 8b * (1 + 1b)) = 0
((1 * 1 + 1b * 1) + 8b * (1 + 1b)) = 0
((1 + 1b) + 8b * (1 + 1b)) = 0
(1 + 1b + (1 * 8b + 1b * 8b)) = 0
(1 + 1b + (8b + 8b2)) = 0

Combine like terms: 1b + 8b = 9b
(1 + 9b + 8b2) = 0

Solving
1 + 9b + 8b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(1 + b)(1 + 8b) = 0

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

Simplifying
1 + b = 0

Solving
1 + b = 0

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

Add '-1' to each side of the equation.
1 + -1 + b = 0 + -1

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

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

Simplifying
b = -1
Subproblem 2
Set the factor '(1 + 8b)' equal to zero and attempt to solve:

Simplifying
1 + 8b = 0

Solving
1 + 8b = 0

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

Add '-1' to each side of the equation.
1 + -1 + 8b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 8b = 0 + -1
8b = 0 + -1

Combine like terms: 0 + -1 = -1
8b = -1

Divide each side by '8'.
b = -0.125

Simplifying
b = -0.125
Solution
b = {-1, -0.125}