(3V+8)(5+V)=0

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Solution for (3V+8)(5+V)=0 equation: 


Simplifying
(3V + 8)(5 + V) = 0

Reorder the terms:
(8 + 3V)(5 + V) = 0

Multiply (8 + 3V) * (5 + V)
(8(5 + V) + 3V * (5 + V)) = 0
((5 * 8 + V * 8) + 3V * (5 + V)) = 0
((40 + 8V) + 3V * (5 + V)) = 0
(40 + 8V + (5 * 3V + V * 3V)) = 0
(40 + 8V + (15V + 3V2)) = 0

Combine like terms: 8V + 15V = 23V
(40 + 23V + 3V2) = 0

Solving
40 + 23V + 3V2 = 0

Solving for variable 'V'.

Factor a trinomial.
(5 + V)(8 + 3V) = 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 '(8 + 3V)' equal to zero and attempt to solve:

Simplifying
8 + 3V = 0

Solving
8 + 3V = 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 + 3V = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 3V = 0 + -8
3V = 0 + -8

Combine like terms: 0 + -8 = -8
3V = -8

Divide each side by '3'.
V = -2.666666667

Simplifying
V = -2.666666667
Solution
V = {-5, -2.666666667}

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