6c(6c+1)=0

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

Simplifying
6c(6c + 1) = 0

Reorder the terms:
6c(1 + 6c) = 0
(1 * 6c + 6c * 6c) = 0
(6c + 36c2) = 0

Solving
6c + 36c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '6c'.
6c(1 + 6c) = 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 '(1 + 6c)' equal to zero and attempt to solve:

Simplifying
1 + 6c = 0

Solving
1 + 6c = 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 + 6c = 0 + -1

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

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

Divide each side by '6'.
c = -0.1666666667

Simplifying
c = -0.1666666667
Solution
c = {0, -0.1666666667}