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5x^2=5x-2
We move all terms to the left:
5x^2-(5x-2)=0
We get rid of parentheses
5x^2-5x+2=0
a = 5; b = -5; c = +2;
Δ = b2-4ac
Δ = -52-4·5·2
Δ = -15
Delta is less than zero, so there is no solution for the equation
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