x^5+4x=

Solution for x^5+4x= equation:

Simplifying
x5 + 4x = 0

Reorder the terms:
4x + x5 = 0

Solving
4x + x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(4 + x4) = 0

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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(4 + x4)' equal to zero and attempt to solve:

Simplifying
4 + x4 = 0

Solving
4 + x4 = 0

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

Add '-4' to each side of the equation.
4 + -4 + x4 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x4 = 0 + -4
x4 = 0 + -4

Combine like terms: 0 + -4 = -4
x4 = -4

Simplifying
x4 = -4

The solution to this equation could not be determined.

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