Find all solutions to the equation \[\frac{\left(\frac{x}{x+1}\right)^2 + 11}{\left(\frac{x}{x+1}\right)^2 + 1} = 2.\]Enter all the solutions, separated by commas.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Find all solutions to the equation \[\frac{\left(\frac{x}{x+1}\right)^2 + 11}{\left(\frac{x}{x+1}\right)^2 + 1} = 2.\]Enter all the solutions, separated by commas.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
-\tfrac34
Find all solutions to the equation \[\frac{\left(\frac{x}{x+1}\right)^2 + 11}{\left(\frac{x}{x+1}\right)^2 + 1} = 2.\]Enter all the solutions, separated by commas.
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