4x^2-14xy+6y^2-7x+y-2
=(x-3y)(4x-2y)-7x+y-2
=(x-3y)(4x-2y)+(x-3y)-8x+4y-2
=(x-3y)(4x-2y+1)-2(4x-2y+1)
=(4x-2y+1)(x-3y-2)