(v-2)(v-3)=0

Solution for (v-2)(v-3)=0 equation:

Simplifying
(v + -2)(v + -3) = 0

Reorder the terms:
(-2 + v)(v + -3) = 0

Reorder the terms:
(-2 + v)(-3 + v) = 0

Multiply (-2 + v) * (-3 + v)
(-2(-3 + v) + v(-3 + v)) = 0
((-3 * -2 + v * -2) + v(-3 + v)) = 0
((6 + -2v) + v(-3 + v)) = 0
(6 + -2v + (-3 * v + v * v)) = 0
(6 + -2v + (-3v + v2)) = 0

Combine like terms: -2v + -3v = -5v
(6 + -5v + v2) = 0

Solving
6 + -5v + v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(2 + -1v)(3 + -1v) = 0

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

Simplifying
2 + -1v = 0

Solving
2 + -1v = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1v = 0 + -2

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

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

Divide each side by '-1'.
v = 2

Simplifying
v = 2
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 = {2, 3}