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

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

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

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

Multiply (2 + -1v) * (-3 + 2v)
(2(-3 + 2v) + -1v * (-3 + 2v)) = 0
((-3 * 2 + 2v * 2) + -1v * (-3 + 2v)) = 0
((-6 + 4v) + -1v * (-3 + 2v)) = 0
(-6 + 4v + (-3 * -1v + 2v * -1v)) = 0
(-6 + 4v + (3v + -2v2)) = 0

Combine like terms: 4v + 3v = 7v
(-6 + 7v + -2v2) = 0

Solving
-6 + 7v + -2v2 = 0

Solving for variable 'v'.

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

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

Simplifying
-2 + v = 0

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

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

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

Simplifying
v = 2
Subproblem 2
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
Solution
v = {2, 1.5}