(b+1)(8b-1)=

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

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

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

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

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

Combine like terms: 8b + -1b = 7b
(-1 + 7b + 8b2) = 0

Solving
-1 + 7b + 8b2 = 0

Solving for variable 'b'.

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

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

Simplifying
-1 + -1b = 0

Solving
-1 + -1b = 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 + -1b = 0 + 1

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

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

Divide each side by '-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}