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500000=-6800x^2+13000x
We move all terms to the left:
500000-(-6800x^2+13000x)=0
We get rid of parentheses
6800x^2-13000x+500000=0
a = 6800; b = -13000; c = +500000;
Δ = b2-4ac
Δ = -130002-4·6800·500000
Δ = -13431000000
Delta is less than zero, so there is no solution for the equation
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