-3c(8+2c)=0

Solution for -3c(8+2c)=0 equation:

Simplifying
-3c(8 + 2c) = 0
(8 * -3c + 2c * -3c) = 0
(-24c + -6c2) = 0

Solving
-24c + -6c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '-6c'.
-6c(4 + c) = 0

Ignore the factor -6.
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 '(4 + c)' equal to zero and attempt to solve:

Simplifying
4 + c = 0

Solving
4 + c = 0

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

Add '-4' to each side of the equation.
4 + -4 + c = 0 + -4

Combine like terms: 4 + -4 = 0
0 + c = 0 + -4
c = 0 + -4

Combine like terms: 0 + -4 = -4
c = -4

Simplifying
c = -4
Solution
c = {0, -4}