(v-2)(v-1)=0

Solution for (v-2)(v-1)=0 equation:

Simplifying
(v + -2)(v + -1) = 0

Reorder the terms:
(-2 + v)(v + -1) = 0

Reorder the terms:
(-2 + v)(-1 + v) = 0

Multiply (-2 + v) * (-1 + v)
(-2(-1 + v) + v(-1 + v)) = 0
((-1 * -2 + v * -2) + v(-1 + v)) = 0
((2 + -2v) + v(-1 + v)) = 0
(2 + -2v + (-1 * v + v * v)) = 0
(2 + -2v + (-1v + v2)) = 0

Combine like terms: -2v + -1v = -3v
(2 + -3v + v2) = 0

Solving
2 + -3v + v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(1 + -1v)(2 + -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 '(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
Solution
v = {1, 2}