(V+8)(5+V)=0

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Solution for (V+8)(5+V)=0 equation: 


Simplifying
(V + 8)(5 + V) = 0

Reorder the terms:
(8 + V)(5 + V) = 0

Multiply (8 + V) * (5 + V)
(8(5 + V) + V(5 + V)) = 0
((5 * 8 + V * 8) + V(5 + V)) = 0
((40 + 8V) + V(5 + V)) = 0
(40 + 8V + (5 * V + V * V)) = 0
(40 + 8V + (5V + V2)) = 0

Combine like terms: 8V + 5V = 13V
(40 + 13V + V2) = 0

Solving
40 + 13V + V2 = 0

Solving for variable 'V'.

Factor a trinomial.
(8 + V)(5 + 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 '(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
Solution
V = {-8, -5}

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