(x+6)(x+6)=16

Solution for (x+6)(x+6)=16 equation:

Simplifying
(x + 6)(x + 6) = 16

Reorder the terms:
(6 + x)(x + 6) = 16

Reorder the terms:
(6 + x)(6 + x) = 16

Multiply (6 + x) * (6 + x)
(6(6 + x) + x(6 + x)) = 16
((6 * 6 + x * 6) + x(6 + x)) = 16
((36 + 6x) + x(6 + x)) = 16
(36 + 6x + (6 * x + x * x)) = 16
(36 + 6x + (6x + x2)) = 16

Combine like terms: 6x + 6x = 12x
(36 + 12x + x2) = 16

Solving
36 + 12x + x2 = 16

Solving for variable 'x'.

Reorder the terms:
36 + -16 + 12x + x2 = 16 + -16

Combine like terms: 36 + -16 = 20
20 + 12x + x2 = 16 + -16

Combine like terms: 16 + -16 = 0
20 + 12x + x2 = 0

Factor a trinomial.
(10 + x)(2 + x) = 0

Subproblem 1
Set the factor '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 0

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

Add '-10' to each side of the equation.
10 + -10 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Simplifying
x = -10
Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

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

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

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

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

Simplifying
x = -2
Solution
x = {-10, -2}