(x-2)(x+6)=-16

Solution for (x-2)(x+6)=-16 equation:

Simplifying
(x + -2)(x + 6) = -16

Reorder the terms:
(-2 + x)(x + 6) = -16

Reorder the terms:
(-2 + x)(6 + x) = -16

Multiply (-2 + x) * (6 + x)
(-2(6 + x) + x(6 + x)) = -16
((6 * -2 + x * -2) + x(6 + x)) = -16
((-12 + -2x) + x(6 + x)) = -16
(-12 + -2x + (6 * x + x * x)) = -16
(-12 + -2x + (6x + x2)) = -16

Combine like terms: -2x + 6x = 4x
(-12 + 4x + x2) = -16

Solving
-12 + 4x + x2 = -16

Solving for variable 'x'.

Reorder the terms:
-12 + 16 + 4x + x2 = -16 + 16

Combine like terms: -12 + 16 = 4
4 + 4x + x2 = -16 + 16

Combine like terms: -16 + 16 = 0
4 + 4x + x2 = 0

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

Subproblem 1
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
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 = {-2, -2}