(b+4)(b-2)=16

Solution for (b+4)(b-2)=16 equation:

Simplifying
(b + 4)(b + -2) = 16

Reorder the terms:
(4 + b)(b + -2) = 16

Reorder the terms:
(4 + b)(-2 + b) = 16

Multiply (4 + b) * (-2 + b)
(4(-2 + b) + b(-2 + b)) = 16
((-2 * 4 + b * 4) + b(-2 + b)) = 16
((-8 + 4b) + b(-2 + b)) = 16
(-8 + 4b + (-2 * b + b * b)) = 16
(-8 + 4b + (-2b + b2)) = 16

Combine like terms: 4b + -2b = 2b
(-8 + 2b + b2) = 16

Solving
-8 + 2b + b2 = 16

Solving for variable 'b'.

Reorder the terms:
-8 + -16 + 2b + b2 = 16 + -16

Combine like terms: -8 + -16 = -24
-24 + 2b + b2 = 16 + -16

Combine like terms: 16 + -16 = 0
-24 + 2b + b2 = 0

Factor a trinomial.
(-6 + -1b)(4 + -1b) = 0

Subproblem 1
Set the factor '(-6 + -1b)' equal to zero and attempt to solve:

Simplifying
-6 + -1b = 0

Solving
-6 + -1b = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1b = 0 + 6

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

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

Divide each side by '-1'.
b = -6

Simplifying
b = -6
Subproblem 2
Set the factor '(4 + -1b)' equal to zero and attempt to solve:

Simplifying
4 + -1b = 0

Solving
4 + -1b = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1b = 0 + -4

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

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

Divide each side by '-1'.
b = 4

Simplifying
b = 4
Solution
b = {-6, 4}