(4v+9)(8+v)=0

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Solution for (4v+9)(8+v)=0 equation: 


Simplifying
(4v + 9)(8 + v) = 0

Reorder the terms:
(9 + 4v)(8 + v) = 0

Multiply (9 + 4v) * (8 + v)
(9(8 + v) + 4v * (8 + v)) = 0
((8 * 9 + v * 9) + 4v * (8 + v)) = 0
((72 + 9v) + 4v * (8 + v)) = 0
(72 + 9v + (8 * 4v + v * 4v)) = 0
(72 + 9v + (32v + 4v2)) = 0

Combine like terms: 9v + 32v = 41v
(72 + 41v + 4v2) = 0

Solving
72 + 41v + 4v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(8 + v)(9 + 4v) = 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 '(9 + 4v)' equal to zero and attempt to solve:

Simplifying
9 + 4v = 0

Solving
9 + 4v = 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 + 4v = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 4v = 0 + -9
4v = 0 + -9

Combine like terms: 0 + -9 = -9
4v = -9

Divide each side by '4'.
v = -2.25

Simplifying
v = -2.25
Solution
v = {-8, -2.25}

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