(3v-5)(9-v)=0

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Solution for (3v-5)(9-v)=0 equation: 


Simplifying
(3v + -5)(9 + -1v) = 0

Reorder the terms:
(-5 + 3v)(9 + -1v) = 0

Multiply (-5 + 3v) * (9 + -1v)
(-5(9 + -1v) + 3v * (9 + -1v)) = 0
((9 * -5 + -1v * -5) + 3v * (9 + -1v)) = 0
((-45 + 5v) + 3v * (9 + -1v)) = 0
(-45 + 5v + (9 * 3v + -1v * 3v)) = 0
(-45 + 5v + (27v + -3v2)) = 0

Combine like terms: 5v + 27v = 32v
(-45 + 32v + -3v2) = 0

Solving
-45 + 32v + -3v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-9 + v)(5 + -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 '(5 + -3v)' equal to zero and attempt to solve:

Simplifying
5 + -3v = 0

Solving
5 + -3v = 0

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

Add '-5' to each side of the equation.
5 + -5 + -3v = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3v = 0 + -5
-3v = 0 + -5

Combine like terms: 0 + -5 = -5
-3v = -5

Divide each side by '-3'.
v = 1.666666667

Simplifying
v = 1.666666667
Solution
v = {9, 1.666666667}

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