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3x+7/x=2x+1
We move all terms to the left:
3x+7/x-(2x+1)=0
Domain of the equation: x!=0We get rid of parentheses
x∈R
3x+7/x-2x-1=0
We multiply all the terms by the denominator
3x*x-2x*x-1*x+7=0
We add all the numbers together, and all the variables
-1x+3x*x-2x*x+7=0
Wy multiply elements
3x^2-2x^2-1x+7=0
We add all the numbers together, and all the variables
x^2-1x+7=0
a = 1; b = -1; c = +7;
Δ = b2-4ac
Δ = -12-4·1·7
Δ = -27
Delta is less than zero, so there is no solution for the equation
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