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(1/5)(n)+5n=7n-18
We move all terms to the left:
(1/5)(n)+5n-(7n-18)=0
Domain of the equation: 5)n!=0We add all the numbers together, and all the variables
n!=0/1
n!=0
n∈R
(+1/5)n+5n-(7n-18)=0
We add all the numbers together, and all the variables
5n+(+1/5)n-(7n-18)=0
We multiply parentheses
n^2+5n-(7n-18)=0
We get rid of parentheses
n^2+5n-7n+18=0
We add all the numbers together, and all the variables
n^2-2n+18=0
a = 1; b = -2; c = +18;
Δ = b2-4ac
Δ = -22-4·1·18
Δ = -68
Delta is less than zero, so there is no solution for the equation
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