# Weird equation

When developing the MathForces website, Daniyar was very keen on programming, which is why he broke the keyboard. When preparing materials for the lesson, instead of the equation $x ^ 2-x (1 + x) -2 = 0$, he got $x ^ {20202020} + x ^ {10101010} + x ^ 2-20202020202020202020202020202020 = 0$. Help Daniyar find the sum of all real roots of the new equation.