(c+1)(c+6)=0

Solution for (c+1)(c+6)=0 equation:

Simplifying
(c + 1)(c + 6) = 0

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

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

Multiply (1 + c) * (6 + c)
(1(6 + c) + c(6 + c)) = 0
((6 * 1 + c * 1) + c(6 + c)) = 0
((6 + 1c) + c(6 + c)) = 0
(6 + 1c + (6 * c + c * c)) = 0
(6 + 1c + (6c + c2)) = 0

Combine like terms: 1c + 6c = 7c
(6 + 7c + c2) = 0

Solving
6 + 7c + c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(6 + c)(1 + 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 '(1 + c)' equal to zero and attempt to solve:

Simplifying
1 + c = 0

Solving
1 + c = 0

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

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

Combine like terms: 1 + -1 = 0
0 + c = 0 + -1
c = 0 + -1

Combine like terms: 0 + -1 = -1
c = -1

Simplifying
c = -1
Solution
c = {-6, -1}