(3v-1)(4-v)=0

Solution for (3v-1)(4-v)=0 equation:

Simplifying
(3v + -1)(4 + -1v) = 0

Reorder the terms:
(-1 + 3v)(4 + -1v) = 0

Multiply (-1 + 3v) * (4 + -1v)
(-1(4 + -1v) + 3v * (4 + -1v)) = 0
((4 * -1 + -1v * -1) + 3v * (4 + -1v)) = 0
((-4 + 1v) + 3v * (4 + -1v)) = 0
(-4 + 1v + (4 * 3v + -1v * 3v)) = 0
(-4 + 1v + (12v + -3v2)) = 0

Combine like terms: 1v + 12v = 13v
(-4 + 13v + -3v2) = 0

Solving
-4 + 13v + -3v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-4 + v)(1 + -3v) = 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 + -3v)' equal to zero and attempt to solve:

Simplifying
1 + -3v = 0

Solving
1 + -3v = 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 + -3v = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3v = 0 + -1
-3v = 0 + -1

Combine like terms: 0 + -1 = -1
-3v = -1

Divide each side by '-3'.
v = 0.3333333333

Simplifying
v = 0.3333333333
Solution
v = {4, 0.3333333333}