16+2b=b^2-4b

Solution for 16+2b=b^2-4b equation:

Simplifying
16 + 2b = b2 + -4b

Reorder the terms:
16 + 2b = -4b + b2

Solving
16 + 2b = -4b + b2

Solving for variable 'b'.

Combine like terms: 2b + 4b = 6b
16 + 6b + -1b2 = -4b + b2 + 4b + -1b2

Reorder the terms:
16 + 6b + -1b2 = -4b + 4b + b2 + -1b2

Combine like terms: -4b + 4b = 0
16 + 6b + -1b2 = 0 + b2 + -1b2
16 + 6b + -1b2 = b2 + -1b2

Combine like terms: b2 + -1b2 = 0
16 + 6b + -1b2 = 0

Factor a trinomial.
(8 + -1b)(2 + 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 '(2 + b)' equal to zero and attempt to solve:

Simplifying
2 + b = 0

Solving
2 + b = 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 + b = 0 + -2

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

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

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