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

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


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

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

Multiply (8 + 5v) * (5 + v)
(8(5 + v) + 5v * (5 + v)) = 0
((5 * 8 + v * 8) + 5v * (5 + v)) = 0
((40 + 8v) + 5v * (5 + v)) = 0
(40 + 8v + (5 * 5v + v * 5v)) = 0
(40 + 8v + (25v + 5v2)) = 0

Combine like terms: 8v + 25v = 33v
(40 + 33v + 5v2) = 0

Solving
40 + 33v + 5v2 = 0

Solving for variable 'v'.

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

Simplifying
8 + 5v = 0

Solving
8 + 5v = 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 + 5v = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 5v = 0 + -8
5v = 0 + -8

Combine like terms: 0 + -8 = -8
5v = -8

Divide each side by '5'.
v = -1.6

Simplifying
v = -1.6
Solution
v = {-5, -1.6}

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