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1/2x+3/x+7=-1/x
We move all terms to the left:
1/2x+3/x+7-(-1/x)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
Domain of the equation: x!=0
x∈R
Domain of the equation: x)!=0We get rid of parentheses
x!=0/1
x!=0
x∈R
1/2x+3/x+1/x+7=0
We calculate fractions
x/2x^2+(2x+3)/2x^2+7=0
We multiply all the terms by the denominator
x+(2x+3)+7*2x^2=0
Wy multiply elements
14x^2+x+(2x+3)=0
We get rid of parentheses
14x^2+x+2x+3=0
We add all the numbers together, and all the variables
14x^2+3x+3=0
a = 14; b = 3; c = +3;
Δ = b2-4ac
Δ = 32-4·14·3
Δ = -159
Delta is less than zero, so there is no solution for the equation
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