z^5+64z^2=

Solution for z^5+64z^2= equation:

Simplifying
z5 + 64z2 = 0

Reorder the terms:
64z2 + z5 = 0

Solving
64z2 + z5 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), 'z2'.
z2(64 + z3) = 0

Subproblem 1
Set the factor 'z2' equal to zero and attempt to solve:

Simplifying
z2 = 0

Solving
z2 = 0

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

Simplifying
z2 = 0

Take the square root of each side:
z = {0}
Subproblem 2
Set the factor '(64 + z3)' equal to zero and attempt to solve:

Simplifying
64 + z3 = 0

Solving
64 + z3 = 0

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

Add '-64' to each side of the equation.
64 + -64 + z3 = 0 + -64

Combine like terms: 64 + -64 = 0
0 + z3 = 0 + -64
z3 = 0 + -64

Combine like terms: 0 + -64 = -64
z3 = -64

Simplifying
z3 = -64

The solution to this equation could not be determined.

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