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

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

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

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

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

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

Multiply (1 + 8b) * (-1 + b)
-1 + -7b + 8b2 = (1(-1 + b) + 8b * (-1 + b))
-1 + -7b + 8b2 = ((-1 * 1 + b * 1) + 8b * (-1 + b))
-1 + -7b + 8b2 = ((-1 + 1b) + 8b * (-1 + b))
-1 + -7b + 8b2 = (-1 + 1b + (-1 * 8b + b * 8b))
-1 + -7b + 8b2 = (-1 + 1b + (-8b + 8b2))

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

Add '1' to each side of the equation.
-1 + -7b + 1 + 8b2 = -1 + -7b + 1 + 8b2

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

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

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

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

Add '7b' to each side of the equation.
-7b + 7b + 8b2 = -7b + 7b + 8b2

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

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

Add '-8b2' to each side of the equation.
8b2 + -8b2 = 8b2 + -8b2

Combine like terms: 8b2 + -8b2 = 0
0 = 8b2 + -8b2

Combine like terms: 8b2 + -8b2 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.