Let f(x)= |a, -1, 0; a x, a, -1; a x^2, a x, a|, a ∈ R. Then the sum of the squares of all the values of a, for which 2 f^′(10)-f^′(5)+100=0, is

Let $\displaystyle f(x)=\left|\begin{array}{ccc}a & -1 & 0 \\ a x & a & -1 \\ a x^2 & a x & a\end{array}\right|, a \in \mathbb{R}$. Then the sum of the squares of all the values of $\displaystyle a$, for which $\displaystyle 2 f^{\prime}(10)-f^{\prime}(5)+100=0$, is