I've got an equation like this and I want to calculate the roots of this equation. I've tried to solve it with the quadratic equation but I'm struggling to find the quadratic formula's $a, b$, and $c$ values.
$$ f(x) =\dfrac{-F_1^2F_2^2x^2-200000000F_1F_2R_1x+10000F_1F_2F_3R_1R_2-10000000000000000R_1^2}{F_1^2F_2^2x^2+200000000F_1F_2R_1x+10000000000000000R_1^2} $$
I've thought that since the equation is in $ax^2 + bx + c$ forma
t, $f(0)$ could return the $c$ value and I also could find the other $a$ and $b$ values with $f(1)$ and $f(-1)$ values. I'm not sure if the result is right or not through. Do you think that this method can work? If it won't, what is the proper way to find $a, b$ and $c$ values for a complicated equation like this ? Thanks!
(PS: $F$ and $R$ values are constants.)