(3v+8)(9+v)=0

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Solution for (3v+8)(9+v)=0 equation: 


Simplifying
(3v + 8)(9 + v) = 0

Reorder the terms:
(8 + 3v)(9 + v) = 0

Multiply (8 + 3v) * (9 + v)
(8(9 + v) + 3v * (9 + v)) = 0
((9 * 8 + v * 8) + 3v * (9 + v)) = 0
((72 + 8v) + 3v * (9 + v)) = 0
(72 + 8v + (9 * 3v + v * 3v)) = 0
(72 + 8v + (27v + 3v2)) = 0

Combine like terms: 8v + 27v = 35v
(72 + 35v + 3v2) = 0

Solving
72 + 35v + 3v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(9 + v)(8 + 3v) = 0


Subproblem 1
Set the factor '(9 + v)' equal to zero and attempt to solve:

Simplifying
9 + v = 0

Solving
9 + v = 0

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

Add '-9' to each side of the equation.
9 + -9 + v = 0 + -9

Combine like terms: 9 + -9 = 0
0 + v = 0 + -9
v = 0 + -9

Combine like terms: 0 + -9 = -9
v = -9

Simplifying
v = -9

Subproblem 2
Set the factor '(8 + 3v)' equal to zero and attempt to solve:

Simplifying
8 + 3v = 0

Solving
8 + 3v = 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 + 3v = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 3v = 0 + -8
3v = 0 + -8

Combine like terms: 0 + -8 = -8
3v = -8

Divide each side by '3'.
v = -2.666666667

Simplifying
v = -2.666666667
Solution
v = {-9, -2.666666667}

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