y(y^5+3)=

Solution for y(y^5+3)= equation:

Simplifying
y(y5 + 3) = 0

Reorder the terms:
y(3 + y5) = 0
(3 * y + y5 * y) = 0
(3y + y6) = 0

Solving
3y + y6 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(3 + y5) = 0

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 '(3 + y5)' equal to zero and attempt to solve:

Simplifying
3 + y5 = 0

Solving
3 + y5 = 0

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

Add '-3' to each side of the equation.
3 + -3 + y5 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + y5 = 0 + -3
y5 = 0 + -3

Combine like terms: 0 + -3 = -3
y5 = -3

Simplifying
y5 = -3

The solution to this equation could not be determined.

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