3/4n+1/2-1/3n=-9/2

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Solution for 3/4n+1/2-1/3n=-9/2 equation:



3/4n+1/2-1/3n=-9/2
We move all terms to the left:
3/4n+1/2-1/3n-(-9/2)=0
Domain of the equation: 4n!=0
n!=0/4
n!=0
n∈R
Domain of the equation: 3n!=0
n!=0/3
n!=0
n∈R
We get rid of parentheses
3/4n-1/3n+1/2+9/2=0
We calculate fractions
36n/48n^2+(-16n)/48n^2+(324n^2+1)/48n^2=0
We multiply all the terms by the denominator
36n+(-16n)+(324n^2+1)=0
We get rid of parentheses
324n^2+36n-16n+1=0
We add all the numbers together, and all the variables
324n^2+20n+1=0
a = 324; b = 20; c = +1;
Δ = b2-4ac
Δ = 202-4·324·1
Δ = -896
Delta is less than zero, so there is no solution for the equation

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