You've created a new quadratic formula; very cool. There's a slight mistake; we need [math]-b[/math] at the end, not [math]-a.[/math]
[math]x = \dfrac{2c}{b \pm \sqrt{b^2 - 4c}} - b[/math]
Also the division by [math]x[/math] means this probably won't work when [math]x=0.[/math]
Let's check ...
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