x^4+27x=0

Solution for x^4+27x=0 equation:

Simplifying
x4 + 27x = 0

Reorder the terms:
27x + x4 = 0

Solving
27x + x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(27 + x3) = 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 '(27 + x3)' equal to zero and attempt to solve:

Simplifying
27 + x3 = 0

Solving
27 + x3 = 0

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

Add '-27' to each side of the equation.
27 + -27 + x3 = 0 + -27

Combine like terms: 27 + -27 = 0
0 + x3 = 0 + -27
x3 = 0 + -27

Combine like terms: 0 + -27 = -27
x3 = -27

Simplifying
x3 = -27

The solution to this equation could not be determined.

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