y^2-32y=0

Solution for y^2-32y=0 equation:

Simplifying
y2 + -32y = 0

Reorder the terms:
-32y + y2 = 0

Solving
-32y + y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(-32 + 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 '(-32 + y)' equal to zero and attempt to solve:

Simplifying
-32 + y = 0

Solving
-32 + y = 0

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

Add '32' to each side of the equation.
-32 + 32 + y = 0 + 32

Combine like terms: -32 + 32 = 0
0 + y = 0 + 32
y = 0 + 32

Combine like terms: 0 + 32 = 32
y = 32

Simplifying
y = 32
Solution
y = {0, 32}