r^3+4r=0

Solution for r^3+4r=0 equation:

Simplifying
r3 + 4r = 0

Reorder the terms:
4r + r3 = 0

Solving
4r + r3 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), 'r'.
r(4 + r2) = 0

Subproblem 1
Set the factor 'r' equal to zero and attempt to solve:

Simplifying
r = 0

Solving
r = 0

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

Simplifying
r = 0
Subproblem 2
Set the factor '(4 + r2)' equal to zero and attempt to solve:

Simplifying
4 + r2 = 0

Solving
4 + r2 = 0

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

Add '-4' to each side of the equation.
4 + -4 + r2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + r2 = 0 + -4
r2 = 0 + -4

Combine like terms: 0 + -4 = -4
r2 = -4

Simplifying
r2 = -4

The solution to this equation could not be determined.

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