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6/3-2x=7/x+1
We move all terms to the left:
6/3-2x-(7/x+1)=0
Domain of the equation: x+1)!=0We add all the numbers together, and all the variables
x∈R
-2x-(7/x+1)+2=0
We get rid of parentheses
-2x-7/x-1+2=0
We multiply all the terms by the denominator
-2x*x-1*x+2*x-7=0
We add all the numbers together, and all the variables
x-2x*x-7=0
Wy multiply elements
-2x^2+x-7=0
a = -2; b = 1; c = -7;
Δ = b2-4ac
Δ = 12-4·(-2)·(-7)
Δ = -55
Delta is less than zero, so there is no solution for the equation
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