3.2n-2=-9/5n

Solution for 3.2n-2=-9/5n equation:

3.2n-2=-9/5n

We move all terms to the left:

3.2n-2-(-9/5n)=0


Domain of the equation: 5n)!=0

n!=0/1

n!=0

n∈R


We get rid of parentheses

3.2n+9/5n-2=0

We multiply all the terms by the denominator


(3.2n)*5n-2*5n+9=0

We add all the numbers together, and all the variables

(+3.2n)*5n-2*5n+9=0

We multiply parentheses

15n^2-2*5n+9=0

Wy multiply elements

15n^2-10n+9=0

a = 15; b = -10; c = +9;
Δ = b2-4ac
Δ = -102-4·15·9
Δ = -440
Delta is less than zero, so there is no solution for the equation