z^7-24z^5=

Solution for z^7-24z^5= equation:

Simplifying
z7 + -24z5 = 0

Reorder the terms:
-24z5 + z7 = 0

Solving
-24z5 + z7 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), 'z5'.
z5(-24 + z2) = 0

Subproblem 1
Set the factor 'z5' equal to zero and attempt to solve:

Simplifying
z5 = 0

Solving
z5 = 0

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

Simplifying
z5 = 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 '(-24 + z2)' equal to zero and attempt to solve:

Simplifying
-24 + z2 = 0

Solving
-24 + z2 = 0

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

Add '24' to each side of the equation.
-24 + 24 + z2 = 0 + 24

Combine like terms: -24 + 24 = 0
0 + z2 = 0 + 24
z2 = 0 + 24

Combine like terms: 0 + 24 = 24
z2 = 24

Simplifying
z2 = 24

Take the square root of each side:
z = {-4.898979486, 4.898979486}
Solution
z = {-4.898979486, 4.898979486}