(c+2)(c+6)=0

Solution for (c+2)(c+6)=0 equation:

Simplifying
(c + 2)(c + 6) = 0

Reorder the terms:
(2 + c)(c + 6) = 0

Reorder the terms:
(2 + c)(6 + c) = 0

Multiply (2 + c) * (6 + c)
(2(6 + c) + c(6 + c)) = 0
((6 * 2 + c * 2) + c(6 + c)) = 0
((12 + 2c) + c(6 + c)) = 0
(12 + 2c + (6 * c + c * c)) = 0
(12 + 2c + (6c + c2)) = 0

Combine like terms: 2c + 6c = 8c
(12 + 8c + c2) = 0

Solving
12 + 8c + c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(6 + c)(2 + c) = 0

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

Simplifying
6 + c = 0

Solving
6 + c = 0

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

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

Combine like terms: 6 + -6 = 0
0 + c = 0 + -6
c = 0 + -6

Combine like terms: 0 + -6 = -6
c = -6

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

Simplifying
2 + c = 0

Solving
2 + c = 0

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

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

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

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

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