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2x+x(6/x-4)=6x-5.2
We move all terms to the left:
2x+x(6/x-4)-(6x-5.2)=0
Domain of the equation: x-4)!=0We multiply parentheses
x∈R
6x^2+2x-4x-(6x-5.2)=0
We get rid of parentheses
6x^2+2x-4x-6x+5.2=0
We add all the numbers together, and all the variables
6x^2-8x+5.2=0
a = 6; b = -8; c = +5.2;
Δ = b2-4ac
Δ = -82-4·6·5.2
Δ = -60.8
Delta is less than zero, so there is no solution for the equation
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