How to solve this equation?

Hello, I'm trying to solve this equation using Matlab: (to find i)

But I can't understand the result that I get which is:

I'm only showing a part of the result. Any help to solve this equation is much appreciated.

syms i;
prt1=61466000*((1+i)^46-1)/(i*(1+i)^46);

prt2=400000000*(1+i)^-1;
prt3=500000000*(1+i)^-2;
prt4=760000000*(1+i)^-3;
prt5=200000000*(1+i)^-4;
prt6=140000000*(1+i)^-5;

prt7=3105237.5*((1+i)^46-1)/(i*(1+i)^46);

second=prt2+prt3+prt4+prt5+prt6+prt7;

eqn=prt1-second;

solve(eqn,i)

[Cesar Antonio Lopez Segura]

Why do you delete the term (1+i)^-4 in your code ?

[Dimitris Kalogiros]

Does i have to be positive integer ?

[Nadun Chandrabahu]

Yeah I forgot to include this! Thanks for pointing it out. Torsten below gave me a solution which is correct I think, but could you help me to get the answer in 7 significant figures?

[Nadun Chandrabahu]

@Dimitris Kalogiros, yeah it has to be a very small number between 0 and 0.1. I need it in 7 s.f

Answer 1

[Torsten]

fun=@(i)400000000*(1+i)^-1+500000000*(1+i)^-2+760000000*(1+i)^-3+200000000*(1+i)^-4+140000000*(1+i)^-5+3105237.5*((1+i)^46-1)/(i*(1+i)^46)-61466000*((1+i)^46-1)/(i*(1+i)^46);
sol=fzero(fun,0.01)

[Nadun Chandrabahu]

Hey thanks for your answer!

I'd like to get this answer in 7 s.f, and as Cesar pointed out. I made an error when I wrote the equation. Forgot to include the terms: (1+i)^-4

I modified your equation to include this term. Could you please check it? Also I need this answer in 7 significant figures at least.

Thank you!

fun=@(i)400000000*(1+i)^-1+500000000*(1+i)^-2+760000000*(1+i)^-3+200000000*(1+i)^-4+140000000*(1+i)^-5+3105237.5*((1+i)^46-1)/(i*(1+i)^46)*((1+i)^-4)-61466000*((1+i)^46-1)/(i*(1+i)^46)*((1+i)^-4);
sol=fzero(fun,0.01)

[Nadun Chandrabahu]

Right now when I solve it, I get 0.0124 which is correct. Just need more accuracy :)

[Torsten]

format long
fun=@(i)400000000*(1+i)^-1+500000000*(1+i)^-2+760000000*(1+i)^-3+200000000*(1+i)^-4+140000000*(1+i)^-5+3105237.5*((1+i)^46-1)/(i*(1+i)^46)*(1+i)^-4-61466000*((1+i)^46-1)/(i*(1+i)^46)*(1+i)^-4;
sol=fzero(fun,0.01)

[Nadun Chandrabahu]

Thanks!!