v^2-16v+55=0

Solution for v^2-16v+55=0 equation:

Simplifying
v2 + -16v + 55 = 0

Reorder the terms:
55 + -16v + v2 = 0

Solving
55 + -16v + v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(5 + -1v)(11 + -1v) = 0

Subproblem 1
Set the factor '(5 + -1v)' equal to zero and attempt to solve:

Simplifying
5 + -1v = 0

Solving
5 + -1v = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1v = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1v = 0 + -5
-1v = 0 + -5

Combine like terms: 0 + -5 = -5
-1v = -5

Divide each side by '-1'.
v = 5

Simplifying
v = 5
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 = {5, 11}