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

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Solution for (9+v)(5v+8)=0 equation: 


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

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

Multiply (9 + v) * (8 + 5v)
(9(8 + 5v) + v(8 + 5v)) = 0
((8 * 9 + 5v * 9) + v(8 + 5v)) = 0
((72 + 45v) + v(8 + 5v)) = 0
(72 + 45v + (8 * v + 5v * v)) = 0
(72 + 45v + (8v + 5v2)) = 0

Combine like terms: 45v + 8v = 53v
(72 + 53v + 5v2) = 0

Solving
72 + 53v + 5v2 = 0

Solving for variable 'v'.

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

Simplifying
8 + 5v = 0

Solving
8 + 5v = 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 + 5v = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 5v = 0 + -8
5v = 0 + -8

Combine like terms: 0 + -8 = -8
5v = -8

Divide each side by '5'.
v = -1.6

Simplifying
v = -1.6
Solution
v = {-9, -1.6}

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