-y^4-64y=0

Solution for -y^4-64y=0 equation:

Simplifying
-1y4 + -64y = 0

Reorder the terms:
-64y + -1y4 = 0

Solving
-64y + -1y4 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '-1y'.
-1y(64 + y3) = 0

Ignore the factor -1.
Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

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

Simplifying
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}