I have some problems of which i solved them all by pretty much factoring and then guess and check.

x(x-1)>0

4x^2+10x-6<0

x^2 +2x+4>0 (I couldnt solve this one because I couldnt factor it)

So if you guys know a trick to solving these please tell me because guess/check is making my brain fry. Also If you know how to factor x^2+2x+4>0 please tell me that would rule. (or atleast how to solve it as an inequality if you cant factor it)