Not many solutions? Part 1

Algebra Level 2

Let the functions f(x)f(x) and g(x)g(x) be f(x)=x32x2+x2f(x)= x^{3}-2x^{2}+x-2 and g(x)=x2+1g(x)= x^{2}+1

Find the sum of all real solutions to the equation

f(x)g(x)=1\frac{f(x)}{g(x)}=1.


Part 2.

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