v^2-12v+21=10

Solution for v^2-12v+21=10 equation:

Simplifying
v2 + -12v + 21 = 10

Reorder the terms:
21 + -12v + v2 = 10

Solving
21 + -12v + v2 = 10

Solving for variable 'v'.

Reorder the terms:
21 + -10 + -12v + v2 = 10 + -10

Combine like terms: 21 + -10 = 11
11 + -12v + v2 = 10 + -10

Combine like terms: 10 + -10 = 0
11 + -12v + v2 = 0

Factor a trinomial.
(1 + -1v)(11 + -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 '(11 + -1v)' equal to zero and attempt to solve:

Simplifying
11 + -1v = 0

Solving
11 + -1v = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1v = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1v = 0 + -11
-1v = 0 + -11

Combine like terms: 0 + -11 = -11
-1v = -11

Divide each side by '-1'.
v = 11

Simplifying
v = 11
Solution
v = {1, 11}