(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 = 49v
(-72 + 49v + -5v2) = 0

Solving
-72 + 49v + -5v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-8 + v)(9 + -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 '(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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