36c^3-1c=0

Solution for 36c^3-1c=0 equation:

Simplifying
36c3 + -1c = 0

Reorder the terms:
-1c + 36c3 = 0

Solving
-1c + 36c3 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), 'c'.
c(-1 + 36c2) = 0

Factor a difference between two squares.
c((1 + 6c)(-1 + 6c)) = 0

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
Subproblem 3
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, 0.1666666667}