8=b(b-7)

Solution for 8=b(b-7) equation:

Simplifying
8 = b(b + -7)

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

Solving
8 = -7b + b2

Solving for variable 'b'.

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

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

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

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

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

Simplifying
8 + -1b = 0

Solving
8 + -1b = 0

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

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

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

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

Divide each side by '-1'.
b = 8

Simplifying
b = 8
Subproblem 2
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
Solution
b = {8, -1}