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3x^2=5x-100
We move all terms to the left:
3x^2-(5x-100)=0
We get rid of parentheses
3x^2-5x+100=0
a = 3; b = -5; c = +100;
Δ = b2-4ac
Δ = -52-4·3·100
Δ = -1175
Delta is less than zero, so there is no solution for the equation
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