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

Solution for (1-v)(2v-9)=0 equation:

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

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

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

Combine like terms: 2v + 9v = 11v
(-9 + 11v + -2v2) = 0

Solving
-9 + 11v + -2v2 = 0

Solving for variable 'v'.

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

Simplifying
1 + -1v = 0

Solving
1 + -1v = 0

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

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

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

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

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

Simplifying
v = 1
Solution
v = {4.5, 1}