y(y+13)=

Solution for y(y+13)= 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}