y^2-40y=0

Solution for y^2-40y=0 equation:

Simplifying
y2 + -40y = 0

Reorder the terms:
-40y + y2 = 0

Solving
-40y + y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(-40 + 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 '(-40 + y)' equal to zero and attempt to solve:

Simplifying
-40 + y = 0

Solving
-40 + y = 0

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

Add '40' to each side of the equation.
-40 + 40 + y = 0 + 40

Combine like terms: -40 + 40 = 0
0 + y = 0 + 40
y = 0 + 40

Combine like terms: 0 + 40 = 40
y = 40

Simplifying
y = 40
Solution
y = {0, 40}