### Instruction: Find the sum of all real numbers $x$ such that $5x^4-10x^3+10x^2-5x-11=0$.### Response: To find the sum of the roots of a polynomial equation, I can use the formula that relates the coefficients to the symmetric functions of the roots.
Specifically, if the equation is of the form $ax^n + bx^{n-1} + \cdots + cx + d = 0$, then the sum of the roots is $-b/a$.
In this case, the equation is already in the standard form, so I can identify the coefficients as $a=5, b=-10, c=10, d=-5, e=-11$.
Therefore, the sum of the roots is $-(-10)/5 = 2$.
This is the final answer.