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

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

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

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

Multiply (2 + -1v) * (-9 + 2v)
(2(-9 + 2v) + -1v * (-9 + 2v)) = 0
((-9 * 2 + 2v * 2) + -1v * (-9 + 2v)) = 0
((-18 + 4v) + -1v * (-9 + 2v)) = 0
(-18 + 4v + (-9 * -1v + 2v * -1v)) = 0
(-18 + 4v + (9v + -2v2)) = 0

Combine like terms: 4v + 9v = 13v
(-18 + 13v + -2v2) = 0

Solving
-18 + 13v + -2v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-9 + 2v)(2 + -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 '(2 + -1v)' equal to zero and attempt to solve:

Simplifying
2 + -1v = 0

Solving
2 + -1v = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1v = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1v = 0 + -2
-1v = 0 + -2

Combine like terms: 0 + -2 = -2
-1v = -2

Divide each side by '-1'.
v = 2

Simplifying
v = 2
Solution
v = {4.5, 2}