Not the Fundamental Theorem of Calculus

Algebra Level 4

(x+20)(x+10)200(x+10)(x+30)100+(x+30)(x+20)200=1\frac{(x+20)(x+10)}{200}-\frac{(x+10)(x+30)}{100}+\frac{(x+30)(x+20)}{200}=1

Find out the number of distinct root(s) of the equation above.

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