Find the sum of all real numbers $x$ such that $5x^4-10x^3+10x^2-5x-11=0$.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Find the sum of all real numbers $x$ such that $5x^4-10x^3+10x^2-5x-11=0$.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
1
Find the sum of all real numbers $x$ such that $5x^4-10x^3+10x^2-5x-11=0$.
train