v^2+12v+30=-6

Solution for v^2+12v+30=-6 equation:

Simplifying
v2 + 12v + 30 = -6

Reorder the terms:
30 + 12v + v2 = -6

Solving
30 + 12v + v2 = -6

Solving for variable 'v'.

Reorder the terms:
30 + 6 + 12v + v2 = -6 + 6

Combine like terms: 30 + 6 = 36
36 + 12v + v2 = -6 + 6

Combine like terms: -6 + 6 = 0
36 + 12v + v2 = 0

Factor a trinomial.
(6 + v)(6 + v) = 0

Subproblem 1
Set the factor '(6 + v)' equal to zero and attempt to solve:

Simplifying
6 + v = 0

Solving
6 + v = 0

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

Add '-6' to each side of the equation.
6 + -6 + v = 0 + -6

Combine like terms: 6 + -6 = 0
0 + v = 0 + -6
v = 0 + -6

Combine like terms: 0 + -6 = -6
v = -6

Simplifying
v = -6
Subproblem 2
Set the factor '(6 + v)' equal to zero and attempt to solve:

Simplifying
6 + v = 0

Solving
6 + v = 0

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

Add '-6' to each side of the equation.
6 + -6 + v = 0 + -6

Combine like terms: 6 + -6 = 0
0 + v = 0 + -6
v = 0 + -6

Combine like terms: 0 + -6 = -6
v = -6

Simplifying
v = -6
Solution
v = {-6, -6}