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

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


Simplifying
(5v + 9)(8 + -1v) = 0

Reorder the terms:
(9 + 5v)(8 + -1v) = 0

Multiply (9 + 5v) * (8 + -1v)
(9(8 + -1v) + 5v * (8 + -1v)) = 0
((8 * 9 + -1v * 9) + 5v * (8 + -1v)) = 0
((72 + -9v) + 5v * (8 + -1v)) = 0
(72 + -9v + (8 * 5v + -1v * 5v)) = 0
(72 + -9v + (40v + -5v2)) = 0

Combine like terms: -9v + 40v = 31v
(72 + 31v + -5v2) = 0

Solving
72 + 31v + -5v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(8 + -1v)(9 + 5v) = 0


Subproblem 1
Set the factor '(8 + -1v)' equal to zero and attempt to solve:

Simplifying
8 + -1v = 0

Solving
8 + -1v = 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 + -1v = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1v = 0 + -8
-1v = 0 + -8

Combine like terms: 0 + -8 = -8
-1v = -8

Divide each side by '-1'.
v = 8

Simplifying
v = 8

Subproblem 2
Set the factor '(9 + 5v)' equal to zero and attempt to solve:

Simplifying
9 + 5v = 0

Solving
9 + 5v = 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 + 5v = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 5v = 0 + -9
5v = 0 + -9

Combine like terms: 0 + -9 = -9
5v = -9

Divide each side by '5'.
v = -1.8

Simplifying
v = -1.8
Solution
v = {8, -1.8}

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