Is this crazy thing quadratic?

Algebra Level pending

\((x^{2}a^{2} - x^{2})^{2} + a^{2}(a^{2} - 2x^{2}a^{2} + 2x^{2}) - 2(x^{2} + a^{2}) + 1 = 0\) This ecuation has two solutions for x and two solutions for a. What is the sum of the four solutions?

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