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0=3x+6/x+7
We move all terms to the left:
0-(3x+6/x+7)=0
Domain of the equation: x+7)!=0We add all the numbers together, and all the variables
x∈R
-(3x+6/x+7)=0
We get rid of parentheses
-3x-6/x-7=0
We multiply all the terms by the denominator
-3x*x-7*x-6=0
We add all the numbers together, and all the variables
-7x-3x*x-6=0
Wy multiply elements
-3x^2-7x-6=0
a = -3; b = -7; c = -6;
Δ = b2-4ac
Δ = -72-4·(-3)·(-6)
Δ = -23
Delta is less than zero, so there is no solution for the equation
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