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Your help:

Intepretation: $(a-1)\cdot x^2+(a-3)\cdot x-2>0$

Solution:

$1.a=0, x<-1$

$2.a>0, x>\frac{2}{a-1}$

$3.a>1, x<-1$

\(4.-1

\(5.a<-1,\space-1

(Source: http://www.wolframalpha.com/input/?i=(a-1)*x%5E2%2B(a-3)*x-2%3E0)