The equation can be rewritten as:
[tex] 7x^{2} - 14x + 1x -2[/tex]
Factor out a 7x from the first two terms:
[tex]7x(x - 2) + 1x - 2[/tex]
Factor out a 1 from the last two terms:
[tex]7x(x-2) + 1(x-2)[/tex]
Then we can rewrite this as the fully factored equation:
[tex](7x+1)(x-2)[/tex]
You can check that this answer is correct by multiplying them and distributing.