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

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


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

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

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

Combine like terms: 3v + 40v = 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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