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

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


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

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

Multiply (5 + 3v) * (8 + v)
(5(8 + v) + 3v * (8 + v)) = 0
((8 * 5 + v * 5) + 3v * (8 + v)) = 0
((40 + 5v) + 3v * (8 + v)) = 0
(40 + 5v + (8 * 3v + v * 3v)) = 0
(40 + 5v + (24v + 3v2)) = 0

Combine like terms: 5v + 24v = 29v
(40 + 29v + 3v2) = 0

Solving
40 + 29v + 3v2 = 0

Solving for variable 'v'.

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

Simplifying
5 + 3v = 0

Solving
5 + 3v = 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 + 3v = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3v = 0 + -5
3v = 0 + -5

Combine like terms: 0 + -5 = -5
3v = -5

Divide each side by '3'.
v = -1.666666667

Simplifying
v = -1.666666667
Solution
v = {-8, -1.666666667}

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