y^2+13y=-36

Solution for y^2+13y=-36 equation:

Simplifying
y2 + 13y = -36

Reorder the terms:
13y + y2 = -36

Solving
13y + y2 = -36

Solving for variable 'y'.

Reorder the terms:
36 + 13y + y2 = -36 + 36

Combine like terms: -36 + 36 = 0
36 + 13y + y2 = 0

Factor a trinomial.
(9 + y)(4 + y) = 0

Subproblem 1
Set the factor '(9 + y)' equal to zero and attempt to solve:

Simplifying
9 + y = 0

Solving
9 + y = 0

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

Add '-9' to each side of the equation.
9 + -9 + y = 0 + -9

Combine like terms: 9 + -9 = 0
0 + y = 0 + -9
y = 0 + -9

Combine like terms: 0 + -9 = -9
y = -9

Simplifying
y = -9
Subproblem 2
Set the factor '(4 + y)' equal to zero and attempt to solve:

Simplifying
4 + y = 0

Solving
4 + y = 0

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

Add '-4' to each side of the equation.
4 + -4 + y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + y = 0 + -4
y = 0 + -4

Combine like terms: 0 + -4 = -4
y = -4

Simplifying
y = -4
Solution
y = {-9, -4}