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2/x+1-3=4x+6/x+1
We move all terms to the left:
2/x+1-3-(4x+6/x+1)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x+1)!=0We add all the numbers together, and all the variables
x∈R
2/x-(4x+6/x+1)-2=0
We get rid of parentheses
2/x-4x-6/x-1-2=0
We multiply all the terms by the denominator
-4x*x-1*x-2*x+2-6=0
We add all the numbers together, and all the variables
-3x-4x*x-4=0
Wy multiply elements
-4x^2-3x-4=0
a = -4; b = -3; c = -4;
Δ = b2-4ac
Δ = -32-4·(-4)·(-4)
Δ = -55
Delta is less than zero, so there is no solution for the equation
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