v^2+15v+54=-2

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Solution for v^2+15v+54=-2 equation: 


Simplifying
v2 + 15v + 54 = -2

Reorder the terms:
54 + 15v + v2 = -2

Solving
54 + 15v + v2 = -2

Solving for variable 'v'.

Reorder the terms:
54 + 2 + 15v + v2 = -2 + 2

Combine like terms: 54 + 2 = 56
56 + 15v + v2 = -2 + 2

Combine like terms: -2 + 2 = 0
56 + 15v + v2 = 0

Factor a trinomial.
(8 + v)(7 + 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 '(7 + v)' equal to zero and attempt to solve:

Simplifying
7 + v = 0

Solving
7 + v = 0

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

Add '-7' to each side of the equation.
7 + -7 + v = 0 + -7

Combine like terms: 7 + -7 = 0
0 + v = 0 + -7
v = 0 + -7

Combine like terms: 0 + -7 = -7
v = -7

Simplifying
v = -7
Solution
v = {-8, -7}

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