(2/3)n=5n-39

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Solution for (2/3)n=5n-39 equation: 



(2/3)n=5n-39

We move all terms to the left:

(2/3)n-(5n-39)=0



Domain of the equation: 3)n!=0

n!=0/1

n!=0

n∈R



We add all the numbers together, and all the variables

(+2/3)n-(5n-39)=0

We multiply parentheses

2n^2-(5n-39)=0

We get rid of parentheses

2n^2-5n+39=0

a = 2; b = -5; c = +39;
Δ = b2-4ac
Δ = -52-4·2·39
Δ = -287
Delta is less than zero, so there is no solution for the equation

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