y^2=36y

Solution for y^2=36y equation:

Simplifying
y2 = 36y

Solving
y2 = 36y

Solving for variable 'y'.

Reorder the terms:
-36y + y2 = 36y + -36y

Combine like terms: 36y + -36y = 0
-36y + y2 = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(-36 + 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 '(-36 + y)' equal to zero and attempt to solve:

Simplifying
-36 + y = 0

Solving
-36 + y = 0

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

Add '36' to each side of the equation.
-36 + 36 + y = 0 + 36

Combine like terms: -36 + 36 = 0
0 + y = 0 + 36
y = 0 + 36

Combine like terms: 0 + 36 = 36
y = 36

Simplifying
y = 36
Solution
y = {0, 36}