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

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


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

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

Multiply (-5 + 2V) * (9 + -1V)
(-5(9 + -1V) + 2V * (9 + -1V)) = 0
((9 * -5 + -1V * -5) + 2V * (9 + -1V)) = 0
((-45 + 5V) + 2V * (9 + -1V)) = 0
(-45 + 5V + (9 * 2V + -1V * 2V)) = 0
(-45 + 5V + (18V + -2V2)) = 0

Combine like terms: 5V + 18V = 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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