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(3/2+5)n=6n-1/2
We move all terms to the left:
(3/2+5)n-(6n-1/2)=0
Domain of the equation: 2+5)n!=0We add all the numbers together, and all the variables
We move all terms containing n to the left, all other terms to the right
5)n!=-2
n!=-2/1
n!=-2
n∈R
(3/2+5)n-(+6n-1/2)=0
We multiply parentheses
3n^2+5n-(+6n-1/2)=0
We get rid of parentheses
3n^2+5n-6n+1/2=0
We multiply all the terms by the denominator
3n^2*2+5n*2-6n*2+1=0
Wy multiply elements
6n^2+10n-12n+1=0
We add all the numbers together, and all the variables
6n^2-2n+1=0
a = 6; b = -2; c = +1;
Δ = b2-4ac
Δ = -22-4·6·1
Δ = -20
Delta is less than zero, so there is no solution for the equation
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