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

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

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

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

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

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

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

Solving for variable 'b'.

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

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

Combine like terms: 7b + -1b = 6b
-2 + 6b + 8b2 = 1 + b + -1 + -1b

Reorder the terms:
-2 + 6b + 8b2 = 1 + -1 + b + -1b

Combine like terms: 1 + -1 = 0
-2 + 6b + 8b2 = 0 + b + -1b
-2 + 6b + 8b2 = b + -1b

Combine like terms: b + -1b = 0
-2 + 6b + 8b2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + 3b + 4b2) = 0

Factor a trinomial.
2((-1 + -1b)(1 + -4b)) = 0

Ignore the factor 2.
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 + -4b)' equal to zero and attempt to solve:

Simplifying
1 + -4b = 0

Solving
1 + -4b = 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 + -4b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4b = 0 + -1
-4b = 0 + -1

Combine like terms: 0 + -1 = -1
-4b = -1

Divide each side by '-4'.
b = 0.25

Simplifying
b = 0.25
Solution
b = {-1, 0.25}