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

Solution for (4-v)(2v-1)=0 equation:

Simplifying
(4 + -1v)(2v + -1) = 0

Reorder the terms:
(4 + -1v)(-1 + 2v) = 0

Multiply (4 + -1v) * (-1 + 2v)
(4(-1 + 2v) + -1v * (-1 + 2v)) = 0
((-1 * 4 + 2v * 4) + -1v * (-1 + 2v)) = 0
((-4 + 8v) + -1v * (-1 + 2v)) = 0
(-4 + 8v + (-1 * -1v + 2v * -1v)) = 0
(-4 + 8v + (1v + -2v2)) = 0

Combine like terms: 8v + 1v = 9v
(-4 + 9v + -2v2) = 0

Solving
-4 + 9v + -2v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-4 + v)(1 + -2v) = 0

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

Simplifying
-4 + v = 0

Solving
-4 + v = 0

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

Add '4' to each side of the equation.
-4 + 4 + v = 0 + 4

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

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

Simplifying
v = 4
Subproblem 2
Set the factor '(1 + -2v)' equal to zero and attempt to solve:

Simplifying
1 + -2v = 0

Solving
1 + -2v = 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 + -2v = 0 + -1

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

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

Divide each side by '-2'.
v = 0.5

Simplifying
v = 0.5
Solution
v = {4, 0.5}