Y(y+6+5y^3)=

Solution for Y(y+6+5y^3)= equation:

Simplifying
Y(y + 6 + 5y3) = 0

Reorder the terms:
Y(6 + y + 5y3) = 0
(6 * Y + y * Y + 5y3 * Y) = 0
(6Y + yY + 5y3Y) = 0

Solving
6Y + yY + 5y3Y = 0

Solving for variable 'Y'.

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

Factor out the Greatest Common Factor (GCF), 'Y'.
Y(6 + y + 5y3) = 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 '(6 + y + 5y3)' equal to zero and attempt to solve:

Simplifying
6 + y + 5y3 = 0

Solving
6 + y + 5y3 = 0

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

Add '-6' to each side of the equation.
6 + y + -6 + 5y3 = 0 + -6

Reorder the terms:
6 + -6 + y + 5y3 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + y + 5y3 = 0 + -6
y + 5y3 = 0 + -6

Combine like terms: 0 + -6 = -6
y + 5y3 = -6

Add '-1y' to each side of the equation.
y + -1y + 5y3 = -6 + -1y

Combine like terms: y + -1y = 0
0 + 5y3 = -6 + -1y
5y3 = -6 + -1y

Add '-5y3' to each side of the equation.
5y3 + -5y3 = -6 + -1y + -5y3

Combine like terms: 5y3 + -5y3 = 0
0 = -6 + -1y + -5y3

Simplifying
0 = -6 + -1y + -5y3

The solution to this equation could not be determined.

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