v^2+6v+9=4

Solution for v^2+6v+9=4 equation:

Simplifying
v2 + 6v + 9 = 4

Reorder the terms:
9 + 6v + v2 = 4

Solving
9 + 6v + v2 = 4

Solving for variable 'v'.

Reorder the terms:
9 + -4 + 6v + v2 = 4 + -4

Combine like terms: 9 + -4 = 5
5 + 6v + v2 = 4 + -4

Combine like terms: 4 + -4 = 0
5 + 6v + v2 = 0

Factor a trinomial.
(5 + v)(1 + 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 '(1 + v)' equal to zero and attempt to solve:

Simplifying
1 + v = 0

Solving
1 + v = 0

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

Add '-1' to each side of the equation.
1 + -1 + v = 0 + -1

Combine like terms: 1 + -1 = 0
0 + v = 0 + -1
v = 0 + -1

Combine like terms: 0 + -1 = -1
v = -1

Simplifying
v = -1
Solution
v = {-5, -1}