How do you factor out 4v (squared) - 16v + 7?

It is a square trinomial:

4v^2 - 16v + 7 = 0

lets multiply and divide all by 4, the square term coefficient:

(16v^2 - 16 (4) v + 28) (1/4) = 0

(4v - 14) (4v - 2) (1/4) = 0

factor 1/4

(4v - 14) (4v - 2) (1/2) (1/2) = 0

and divide each:

(2v - 7) (2v - 1) = 0