0=c(c+6)

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

Simplifying
0 = c(c + 6)

Reorder the terms:
0 = c(6 + c)
0 = (6 * c + c * c)
0 = (6c + c2)

Solving
0 = 6c + c2

Solving for variable 'c'.
Remove the zero:
-6c + -1c2 = 6c + c2 + -6c + -1c2

Reorder the terms:
-6c + -1c2 = 6c + -6c + c2 + -1c2

Combine like terms: 6c + -6c = 0
-6c + -1c2 = 0 + c2 + -1c2
-6c + -1c2 = c2 + -1c2

Combine like terms: c2 + -1c2 = 0
-6c + -1c2 = 0

Factor out the Greatest Common Factor (GCF), '-1c'.
-1c(6 + c) = 0

Ignore the factor -1.
Subproblem 1
Set the factor 'c' equal to zero and attempt to solve:

Simplifying
c = 0

Solving
c = 0

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

Simplifying
c = 0
Subproblem 2
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
Solution
c = {0, -6}