8b^2-7b-1=(8b+1)

Solution for 8b^2-7b-1=(8b+1) equation:

Simplifying
8b2 + -7b + -1 = (8b + 1)

Reorder the terms:
-1 + -7b + 8b2 = (8b + 1)

Reorder the terms:
-1 + -7b + 8b2 = (1 + 8b)

Remove parenthesis around (1 + 8b)
-1 + -7b + 8b2 = 1 + 8b

Solving
-1 + -7b + 8b2 = 1 + 8b

Solving for variable 'b'.

Reorder the terms:
-1 + -1 + -7b + -8b + 8b2 = 1 + 8b + -1 + -8b

Combine like terms: -1 + -1 = -2
-2 + -7b + -8b + 8b2 = 1 + 8b + -1 + -8b

Combine like terms: -7b + -8b = -15b
-2 + -15b + 8b2 = 1 + 8b + -1 + -8b

Reorder the terms:
-2 + -15b + 8b2 = 1 + -1 + 8b + -8b

Combine like terms: 1 + -1 = 0
-2 + -15b + 8b2 = 0 + 8b + -8b
-2 + -15b + 8b2 = 8b + -8b

Combine like terms: 8b + -8b = 0
-2 + -15b + 8b2 = 0

Factor a trinomial.
(-1 + -8b)(2 + -1b) = 0

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

Simplifying
2 + -1b = 0

Solving
2 + -1b = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1b = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1b = 0 + -2
-1b = 0 + -2

Combine like terms: 0 + -2 = -2
-1b = -2

Divide each side by '-1'.
b = 2

Simplifying
b = 2
Solution
b = {-0.125, 2}