That's incorrect. Multiplying on both sides by and you get 2(x+ 1)+ 1= 0 so that 2x+ 3= 0 and then x= -3/2. The "-1" you get is an "extraneous" root.

I've drawn the corresponding graph, using addition-of-ordinates.

But have I made any mistakes in my working out so far? And how do I find the turning points for this graph?

Anyway help will be welcomed with open arms and be highly appreciated!