(4v-9)(1-v)=0

Solution for (4v-9)(1-v)=0 equation:

Simplifying
(4v + -9)(1 + -1v) = 0

Reorder the terms:
(-9 + 4v)(1 + -1v) = 0

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

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

Solving
-9 + 13v + -4v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-9 + 4v)(1 + -1v) = 0

Subproblem 1
Set the factor '(-9 + 4v)' equal to zero and attempt to solve:

Simplifying
-9 + 4v = 0

Solving
-9 + 4v = 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 + 4v = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 4v = 0 + 9
4v = 0 + 9

Combine like terms: 0 + 9 = 9
4v = 9

Divide each side by '4'.
v = 2.25

Simplifying
v = 2.25
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 = {2.25, 1}