c(3c+6)=0

Solution for c(3c+6)=0 equation:

Simplifying
c(3c + 6) = 0

Reorder the terms:
c(6 + 3c) = 0
(6 * c + 3c * c) = 0
(6c + 3c2) = 0

Solving
6c + 3c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '3c'.
3c(2 + c) = 0

Ignore the factor 3.
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 '(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 = {0, -2}