(2v-9)(3-v)=0

Solution for (2v-9)(3-v)=0 equation:

Simplifying
(2v + -9)(3 + -1v) = 0

Reorder the terms:
(-9 + 2v)(3 + -1v) = 0

Multiply (-9 + 2v) * (3 + -1v)
(-9(3 + -1v) + 2v * (3 + -1v)) = 0
((3 * -9 + -1v * -9) + 2v * (3 + -1v)) = 0
((-27 + 9v) + 2v * (3 + -1v)) = 0
(-27 + 9v + (3 * 2v + -1v * 2v)) = 0
(-27 + 9v + (6v + -2v2)) = 0

Combine like terms: 9v + 6v = 15v
(-27 + 15v + -2v2) = 0

Solving
-27 + 15v + -2v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-9 + 2v)(3 + -1v) = 0

Subproblem 1
Set the factor '(-9 + 2v)' equal to zero and attempt to solve:

Simplifying
-9 + 2v = 0

Solving
-9 + 2v = 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 + 2v = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 2v = 0 + 9
2v = 0 + 9

Combine like terms: 0 + 9 = 9
2v = 9

Divide each side by '2'.
v = 4.5

Simplifying
v = 4.5
Subproblem 2
Set the factor '(3 + -1v)' equal to zero and attempt to solve:

Simplifying
3 + -1v = 0

Solving
3 + -1v = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1v = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1v = 0 + -3
-1v = 0 + -3

Combine like terms: 0 + -3 = -3
-1v = -3

Divide each side by '-1'.
v = 3

Simplifying
v = 3
Solution
v = {4.5, 3}