Y(y^3-6)=

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

Simplifying
Y(y3 + -6) = 0

Reorder the terms:
Y(-6 + y3) = 0
(-6 * Y + y3 * Y) = 0
(-6Y + y3Y) = 0

Solving
-6Y + y3Y = 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 + y3) = 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 + y3)' equal to zero and attempt to solve:

Simplifying
-6 + y3 = 0

Solving
-6 + y3 = 0

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

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

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

Combine like terms: 0 + 6 = 6
y3 = 6

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

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

Simplifying
0 = 6 + -1y3

The solution to this equation could not be determined.

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