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1/3x-3/2x-61/6=47/6
We move all terms to the left:
1/3x-3/2x-61/6-(47/6)=0
Domain of the equation: 3x!=0
x!=0/3
x!=0
x∈R
Domain of the equation: 2x!=0We add all the numbers together, and all the variables
x!=0/2
x!=0
x∈R
1/3x-3/2x-61/6-(+47/6)=0
We get rid of parentheses
1/3x-3/2x-61/6-47/6=0
We calculate fractions
(-564x^2-61)/216x^2+72x/216x^2+(-324x)/216x^2=0
We multiply all the terms by the denominator
(-564x^2-61)+72x+(-324x)=0
We get rid of parentheses
-564x^2+72x-324x-61=0
We add all the numbers together, and all the variables
-564x^2-252x-61=0
a = -564; b = -252; c = -61;
Δ = b2-4ac
Δ = -2522-4·(-564)·(-61)
Δ = -74112
Delta is less than zero, so there is no solution for the equation
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