v^2+13v+40=0

Solution for v^2+13v+40=0 equation:

Simplifying
v2 + 13v + 40 = 0

Reorder the terms:
40 + 13v + v2 = 0

Solving
40 + 13v + v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(8 + v)(5 + v) = 0

Subproblem 1
Set the factor '(8 + v)' equal to zero and attempt to solve:

Simplifying
8 + v = 0

Solving
8 + v = 0

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

Add '-8' to each side of the equation.
8 + -8 + v = 0 + -8

Combine like terms: 8 + -8 = 0
0 + v = 0 + -8
v = 0 + -8

Combine like terms: 0 + -8 = -8
v = -8

Simplifying
v = -8
Subproblem 2
Set the factor '(5 + v)' equal to zero and attempt to solve:

Simplifying
5 + v = 0

Solving
5 + v = 0

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

Add '-5' to each side of the equation.
5 + -5 + v = 0 + -5

Combine like terms: 5 + -5 = 0
0 + v = 0 + -5
v = 0 + -5

Combine like terms: 0 + -5 = -5
v = -5

Simplifying
v = -5
Solution
v = {-8, -5}