v^2+7v+6=-4

Solution for v^2+7v+6=-4 equation:

Simplifying
v2 + 7v + 6 = -4

Reorder the terms:
6 + 7v + v2 = -4

Solving
6 + 7v + v2 = -4

Solving for variable 'v'.

Reorder the terms:
6 + 4 + 7v + v2 = -4 + 4

Combine like terms: 6 + 4 = 10
10 + 7v + v2 = -4 + 4

Combine like terms: -4 + 4 = 0
10 + 7v + v2 = 0

Factor a trinomial.
(5 + v)(2 + v) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(2 + v)' equal to zero and attempt to solve:

Simplifying
2 + v = 0

Solving
2 + v = 0

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

Add '-2' to each side of the equation.
2 + -2 + v = 0 + -2

Combine like terms: 2 + -2 = 0
0 + v = 0 + -2
v = 0 + -2

Combine like terms: 0 + -2 = -2
v = -2

Simplifying
v = -2
Solution
v = {-5, -2}