(v-21)(v-1)=0

Solution for (v-21)(v-1)=0 equation:

Simplifying
(v + -21)(v + -1) = 0

Reorder the terms:
(-21 + v)(v + -1) = 0

Reorder the terms:
(-21 + v)(-1 + v) = 0

Multiply (-21 + v) * (-1 + v)
(-21(-1 + v) + v(-1 + v)) = 0
((-1 * -21 + v * -21) + v(-1 + v)) = 0
((21 + -21v) + v(-1 + v)) = 0
(21 + -21v + (-1 * v + v * v)) = 0
(21 + -21v + (-1v + v2)) = 0

Combine like terms: -21v + -1v = -22v
(21 + -22v + v2) = 0

Solving
21 + -22v + v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(1 + -1v)(21 + -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 '(21 + -1v)' equal to zero and attempt to solve:

Simplifying
21 + -1v = 0

Solving
21 + -1v = 0

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

Add '-21' to each side of the equation.
21 + -21 + -1v = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -1v = 0 + -21
-1v = 0 + -21

Combine like terms: 0 + -21 = -21
-1v = -21

Divide each side by '-1'.
v = 21

Simplifying
v = 21
Solution
v = {1, 21}