8c^3-2c=

Solution for 8c^3-2c= equation:

Simplifying
8c3 + -2c = 0

Reorder the terms:
-2c + 8c3 = 0

Solving
-2c + 8c3 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '2c'.
2c(-1 + 4c2) = 0

Factor a difference between two squares.
2c((1 + 2c)(-1 + 2c)) = 0

Ignore the factor 2.
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 + 2c)' equal to zero and attempt to solve:

Simplifying
1 + 2c = 0

Solving
1 + 2c = 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 + 2c = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2c = 0 + -1
2c = 0 + -1

Combine like terms: 0 + -1 = -1
2c = -1

Divide each side by '2'.
c = -0.5

Simplifying
c = -0.5
Subproblem 3
Set the factor '(-1 + 2c)' equal to zero and attempt to solve:

Simplifying
-1 + 2c = 0

Solving
-1 + 2c = 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 + 2c = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2c = 0 + 1
2c = 0 + 1

Combine like terms: 0 + 1 = 1
2c = 1

Divide each side by '2'.
c = 0.5

Simplifying
c = 0.5
Solution
c = {0, -0.5, 0.5}