4m^4=-256m

Solution for 4m^4=-256m equation:

Simplifying
4m4 = -256m

Solving
4m4 = -256m

Solving for variable 'm'.

Reorder the terms:
256m + 4m4 = -256m + 256m

Combine like terms: -256m + 256m = 0
256m + 4m4 = 0

Factor out the Greatest Common Factor (GCF), '4m'.
4m(64 + m3) = 0

Ignore the factor 4.
Subproblem 1
Set the factor 'm' equal to zero and attempt to solve:

Simplifying
m = 0

Solving
m = 0

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

Simplifying
m = 0
Subproblem 2
Set the factor '(64 + m3)' equal to zero and attempt to solve:

Simplifying
64 + m3 = 0

Solving
64 + m3 = 0

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

Add '-64' to each side of the equation.
64 + -64 + m3 = 0 + -64

Combine like terms: 64 + -64 = 0
0 + m3 = 0 + -64
m3 = 0 + -64

Combine like terms: 0 + -64 = -64
m3 = -64

Simplifying
m3 = -64

The solution to this equation could not be determined.

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