-3c^2-9c-6=0

Solution for -3c^2-9c-6=0 equation:

Simplifying
-3c2 + -9c + -6 = 0

Reorder the terms:
-6 + -9c + -3c2 = 0

Solving
-6 + -9c + -3c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '-3'.
-3(2 + 3c + c2) = 0

Factor a trinomial.
-3((2 + c)(1 + c)) = 0

Ignore the factor -3.
Subproblem 1
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
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 = {-2, -1}