(9-v)(2v-5)=0

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Solution for (9-v)(2v-5)=0 equation: 


Simplifying
(9 + -1v)(2v + -5) = 0

Reorder the terms:
(9 + -1v)(-5 + 2v) = 0

Multiply (9 + -1v) * (-5 + 2v)
(9(-5 + 2v) + -1v * (-5 + 2v)) = 0
((-5 * 9 + 2v * 9) + -1v * (-5 + 2v)) = 0
((-45 + 18v) + -1v * (-5 + 2v)) = 0
(-45 + 18v + (-5 * -1v + 2v * -1v)) = 0
(-45 + 18v + (5v + -2v2)) = 0

Combine like terms: 18v + 5v = 23v
(-45 + 23v + -2v2) = 0

Solving
-45 + 23v + -2v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-9 + v)(5 + -2v) = 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 + -2v)' equal to zero and attempt to solve:

Simplifying
5 + -2v = 0

Solving
5 + -2v = 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 + -2v = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2v = 0 + -5
-2v = 0 + -5

Combine like terms: 0 + -5 = -5
-2v = -5

Divide each side by '-2'.
v = 2.5

Simplifying
v = 2.5
Solution
v = {9, 2.5}

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