4c^3+8c-96c=0

Solution for 4c^3+8c-96c=0 equation:

Simplifying
4c3 + 8c + -96c = 0

Reorder the terms:
8c + -96c + 4c3 = 0

Combine like terms: 8c + -96c = -88c
-88c + 4c3 = 0

Solving
-88c + 4c3 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '4c'.
4c(-22 + c2) = 0

Ignore the factor 4.
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 '(-22 + c2)' equal to zero and attempt to solve:

Simplifying
-22 + c2 = 0

Solving
-22 + c2 = 0

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

Add '22' to each side of the equation.
-22 + 22 + c2 = 0 + 22

Combine like terms: -22 + 22 = 0
0 + c2 = 0 + 22
c2 = 0 + 22

Combine like terms: 0 + 22 = 22
c2 = 22

Simplifying
c2 = 22

Take the square root of each side:
c = {-4.69041576, 4.69041576}
Solution
c = {0, -4.69041576, 4.69041576}