2c^3+4c^2+96c=0

Solution for 2c^3+4c^2+96c=0 equation:

Simplifying
2c3 + 4c2 + 96c = 0

Reorder the terms:
96c + 4c2 + 2c3 = 0

Solving
96c + 4c2 + 2c3 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '2c'.
2c(48 + 2c + 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 '(48 + 2c + c2)' equal to zero and attempt to solve:

Simplifying
48 + 2c + c2 = 0

Solving
48 + 2c + c2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-48' to each side of the equation.
48 + 2c + -48 + c2 = 0 + -48

Reorder the terms:
48 + -48 + 2c + c2 = 0 + -48

Combine like terms: 48 + -48 = 0
0 + 2c + c2 = 0 + -48
2c + c2 = 0 + -48

Combine like terms: 0 + -48 = -48
2c + c2 = -48

The c term is 2c.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2c + 1 + c2 = -48 + 1

Reorder the terms:
1 + 2c + c2 = -48 + 1

Combine like terms: -48 + 1 = -47
1 + 2c + c2 = -47

Factor a perfect square on the left side:
(c + 1)(c + 1) = -47

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
c = {0}