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

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


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

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

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

Combine like terms: 40v + 3v = 43v
(24 + 43v + 5v2) = 0

Solving
24 + 43v + 5v2 = 0

Solving for variable 'v'.

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

Simplifying
3 + 5v = 0

Solving
3 + 5v = 0

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

Add '-3' to each side of the equation.
3 + -3 + 5v = 0 + -3

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

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

Divide each side by '5'.
v = -0.6

Simplifying
v = -0.6
Solution
v = {-8, -0.6}

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