(3/2+5)n=6n-1/2

Solution for (3/2+5)n=6n-1/2 equation:

(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!=0

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


We add all the numbers together, and all the variables

(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