y(y-13)=0

Solution for y(y-13)=0 equation:

Simplifying
y(y + -13) = 0

Reorder the terms:
y(-13 + y) = 0
(-13 * y + y * y) = 0
(-13y + y2) = 0

Solving
-13y + y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(-13 + 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 '(-13 + y)' equal to zero and attempt to solve:

Simplifying
-13 + y = 0

Solving
-13 + y = 0

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

Add '13' to each side of the equation.
-13 + 13 + y = 0 + 13

Combine like terms: -13 + 13 = 0
0 + y = 0 + 13
y = 0 + 13

Combine like terms: 0 + 13 = 13
y = 13

Simplifying
y = 13
Solution
y = {0, 13}