v^2+4v+9v+36=0

Solution for v^2+4v+9v+36=0 equation:

Simplifying
v2 + 4v + 9v + 36 = 0

Reorder the terms:
36 + 4v + 9v + v2 = 0

Combine like terms: 4v + 9v = 13v
36 + 13v + v2 = 0

Solving
36 + 13v + v2 = 0

Solving for variable 'v'.

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

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

Simplifying
9 + v = 0

Solving
9 + v = 0

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

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

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

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

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

Simplifying
4 + v = 0

Solving
4 + v = 0

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

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

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

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

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