x^4+64x^3=0

Solution for x^4+64x^3=0 equation:

Simplifying
x4 + 64x3 = 0

Reorder the terms:
64x3 + x4 = 0

Solving
64x3 + x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x3'.
x3(64 + x) = 0

Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve:

Simplifying
x3 = 0

Solving
x3 = 0

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

Simplifying
x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(64 + x)' equal to zero and attempt to solve:

Simplifying
64 + x = 0

Solving
64 + x = 0

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

Add '-64' to each side of the equation.
64 + -64 + x = 0 + -64

Combine like terms: 64 + -64 = 0
0 + x = 0 + -64
x = 0 + -64

Combine like terms: 0 + -64 = -64
x = -64

Simplifying
x = -64
Solution
x = {-64}