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

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

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

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

Multiply (-1 + 3v) * (3 + -1v)
(-1(3 + -1v) + 3v * (3 + -1v)) = 0
((3 * -1 + -1v * -1) + 3v * (3 + -1v)) = 0
((-3 + 1v) + 3v * (3 + -1v)) = 0
(-3 + 1v + (3 * 3v + -1v * 3v)) = 0
(-3 + 1v + (9v + -3v2)) = 0

Combine like terms: 1v + 9v = 10v
(-3 + 10v + -3v2) = 0

Solving
-3 + 10v + -3v2 = 0

Solving for variable 'v'.

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

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

Simplifying
-3 + v = 0

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

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

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

Simplifying
v = 3
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 = {3, 0.3333333333}