V^2+14V+42=-6

Solution for V^2+14V+42=-6 equation:

Simplifying
V2 + 14V + 42 = -6

Reorder the terms:
42 + 14V + V2 = -6

Solving
42 + 14V + V2 = -6

Solving for variable 'V'.

Reorder the terms:
42 + 6 + 14V + V2 = -6 + 6

Combine like terms: 42 + 6 = 48
48 + 14V + V2 = -6 + 6

Combine like terms: -6 + 6 = 0
48 + 14V + V2 = 0

Factor a trinomial.
(8 + V)(6 + 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 '(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 = {-8, -6}