c^3-6c^2=0

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

Simplifying
c3 + -6c2 = 0

Reorder the terms:
-6c2 + c3 = 0

Solving
-6c2 + c3 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), 'c2'.
c2(-6 + c) = 0

Subproblem 1
Set the factor 'c2' equal to zero and attempt to solve:

Simplifying
c2 = 0

Solving
c2 = 0

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

Simplifying
c2 = 0

Take the square root of each side:
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}