y(y+15)=0

Solution for y(y+15)=0 equation:

Simplifying
y(y + 15) = 0

Reorder the terms:
y(15 + y) = 0
(15 * y + y * y) = 0
(15y + y2) = 0

Solving
15y + y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(15 + 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 '(15 + y)' equal to zero and attempt to solve:

Simplifying
15 + y = 0

Solving
15 + y = 0

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

Add '-15' to each side of the equation.
15 + -15 + y = 0 + -15

Combine like terms: 15 + -15 = 0
0 + y = 0 + -15
y = 0 + -15

Combine like terms: 0 + -15 = -15
y = -15

Simplifying
y = -15
Solution
y = {0, -15}