v(v)-22v+21=0

Solution for v(v)-22v+21=0 equation:

Simplifying
v(v) + -22v + 21 = 0

Multiply v * v
v2 + -22v + 21 = 0

Reorder the terms:
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}