(y^5)+(64y^2)=0

Solution for (y^5)+(64y^2)=0 equation:

Simplifying
(y5) + (64y2) = 0
y5 + (64y2) = 0

Reorder the terms:
(64y2) + y5 = 0

Solving
(64y2) + y5 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y2'.
y2(64 + y3) = 0

Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve:

Simplifying
y2 = 0

Solving
y2 = 0

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

Simplifying
y2 = 0

Take the square root of each side:
y = {0}
Subproblem 2
Set the factor '(64 + y3)' equal to zero and attempt to solve:

Simplifying
64 + y3 = 0

Solving
64 + y3 = 0

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

Add '-64' to each side of the equation.
64 + -64 + y3 = 0 + -64

Combine like terms: 64 + -64 = 0
0 + y3 = 0 + -64
y3 = 0 + -64

Combine like terms: 0 + -64 = -64
y3 = -64

Simplifying
y3 = -64

The solution to this equation could not be determined.

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