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

Solution for (5-v)(3v-1)=0 equation:

Simplifying
(5 + -1v)(3v + -1) = 0

Reorder the terms:
(5 + -1v)(-1 + 3v) = 0

Multiply (5 + -1v) * (-1 + 3v)
(5(-1 + 3v) + -1v * (-1 + 3v)) = 0
((-1 * 5 + 3v * 5) + -1v * (-1 + 3v)) = 0
((-5 + 15v) + -1v * (-1 + 3v)) = 0
(-5 + 15v + (-1 * -1v + 3v * -1v)) = 0
(-5 + 15v + (1v + -3v2)) = 0

Combine like terms: 15v + 1v = 16v
(-5 + 16v + -3v2) = 0

Solving
-5 + 16v + -3v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-5 + v)(1 + -3v) = 0

Subproblem 1
Set the factor '(-5 + v)' equal to zero and attempt to solve:

Simplifying
-5 + v = 0

Solving
-5 + v = 0

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

Add '5' to each side of the equation.
-5 + 5 + v = 0 + 5

Combine like terms: -5 + 5 = 0
0 + v = 0 + 5
v = 0 + 5

Combine like terms: 0 + 5 = 5
v = 5

Simplifying
v = 5
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 = {5, 0.3333333333}