Y^2=6Y

Solution for Y^2=6Y equation:

Simplifying
Y2 = 6Y

Solving
Y2 = 6Y

Solving for variable 'Y'.

Reorder the terms:
-6Y + Y2 = 6Y + -6Y

Combine like terms: 6Y + -6Y = 0
-6Y + Y2 = 0

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

Simplifying
-6 + Y = 0

Solving
-6 + Y = 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 + Y = 0 + 6

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

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

Simplifying
Y = 6
Solution
Y = {0, 6}