(2v-3)(1-v)=0

Solution for (2v-3)(1-v)=0 equation:

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

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

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

Combine like terms: 3v + 2v = 5v
(-3 + 5v + -2v2) = 0

Solving
-3 + 5v + -2v2 = 0

Solving for variable 'v'.

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

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

Simplifying
-3 + 2v = 0

Solving
-3 + 2v = 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 + 2v = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2v = 0 + 3
2v = 0 + 3

Combine like terms: 0 + 3 = 3
2v = 3

Divide each side by '2'.
v = 1.5

Simplifying
v = 1.5
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 = {1.5, 1}