2c(c^2-6)=0

Solution for 2c(c^2-6)=0 equation:

Simplifying
2c(c2 + -6) = 0

Reorder the terms:
2c(-6 + c2) = 0
(-6 * 2c + c2 * 2c) = 0
(-12c + 2c3) = 0

Solving
-12c + 2c3 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '2c'.
2c(-6 + c2) = 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 '(-6 + c2)' equal to zero and attempt to solve:

Simplifying
-6 + c2 = 0

Solving
-6 + c2 = 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 + c2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + c2 = 0 + 6
c2 = 0 + 6

Combine like terms: 0 + 6 = 6
c2 = 6

Simplifying
c2 = 6

Take the square root of each side:
c = {-2.449489743, 2.449489743}
Solution
c = {0, -2.449489743, 2.449489743}