(8+v)(5v+1)=0

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Solution for (8+v)(5v+1)=0 equation: 


Simplifying
(8 + v)(5v + 1) = 0

Reorder the terms:
(8 + v)(1 + 5v) = 0

Multiply (8 + v) * (1 + 5v)
(8(1 + 5v) + v(1 + 5v)) = 0
((1 * 8 + 5v * 8) + v(1 + 5v)) = 0
((8 + 40v) + v(1 + 5v)) = 0
(8 + 40v + (1 * v + 5v * v)) = 0
(8 + 40v + (1v + 5v2)) = 0

Combine like terms: 40v + 1v = 41v
(8 + 41v + 5v2) = 0

Solving
8 + 41v + 5v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(8 + v)(1 + 5v) = 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 '(1 + 5v)' equal to zero and attempt to solve:

Simplifying
1 + 5v = 0

Solving
1 + 5v = 0

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

Add '-1' to each side of the equation.
1 + -1 + 5v = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5v = 0 + -1
5v = 0 + -1

Combine like terms: 0 + -1 = -1
5v = -1

Divide each side by '5'.
v = -0.2

Simplifying
v = -0.2
Solution
v = {-8, -0.2}

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