(k+2)(k+2)=16

Solution for (k+2)(k+2)=16 equation:

Simplifying
(k + 2)(k + 2) = 16

Reorder the terms:
(2 + k)(k + 2) = 16

Reorder the terms:
(2 + k)(2 + k) = 16

Multiply (2 + k) * (2 + k)
(2(2 + k) + k(2 + k)) = 16
((2 * 2 + k * 2) + k(2 + k)) = 16
((4 + 2k) + k(2 + k)) = 16
(4 + 2k + (2 * k + k * k)) = 16
(4 + 2k + (2k + k2)) = 16

Combine like terms: 2k + 2k = 4k
(4 + 4k + k2) = 16

Solving
4 + 4k + k2 = 16

Solving for variable 'k'.

Reorder the terms:
4 + -16 + 4k + k2 = 16 + -16

Combine like terms: 4 + -16 = -12
-12 + 4k + k2 = 16 + -16

Combine like terms: 16 + -16 = 0
-12 + 4k + k2 = 0

Factor a trinomial.
(-6 + -1k)(2 + -1k) = 0

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

Simplifying
-6 + -1k = 0

Solving
-6 + -1k = 0

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

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

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

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

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

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

Simplifying
2 + -1k = 0

Solving
2 + -1k = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1k = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1k = 0 + -2
-1k = 0 + -2

Combine like terms: 0 + -2 = -2
-1k = -2

Divide each side by '-1'.
k = 2

Simplifying
k = 2
Solution
k = {-6, 2}