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

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

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

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

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

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

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

Solving
3 + -4v + v2 = 0

Solving for variable 'v'.

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

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

Simplifying
1 + -1v = 0

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

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

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

Divide each side by '-1'.
v = 1

Simplifying
v = 1
Subproblem 2
Set the factor '(3 + -1v)' equal to zero and attempt to solve:

Simplifying
3 + -1v = 0

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

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

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

Divide each side by '-1'.
v = 3

Simplifying
v = 3
Solution
v = {1, 3}