How to solve an equation with one variable (x) including a "sum" from 1:n?

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Hi, I never used Matlab to solve simple equations, so it would be awesome if anyone could help me out:
I want to get to know "x", the "sum" is going from 1:n (so for example from 1:4..1,2,3,4). I've given data like:
K=[100 120 160 100]
Z=[100 100 170 700]
n=1:4
Variable: x
I want to solve this equation:
sum( (Z(n)/1.03^n) + ( ( x/4 - (x*(5-n)/4)*1.02) / 1.05^n ) == 0 )
Is that possible with Matlab? I tried the smys x and solve() function but that didn't work...
Thanks a lot!

Accepted Answer

Mischa Kim
Mischa Kim on 18 Apr 2014
Edited: Mischa Kim on 18 Apr 2014
Tim, is the sum of all the 4 equation terms supposed to be equal to zero? If so, this should do
syms x
sol = vpa(sum((Z./1.03.^n) + ((x/4 - (x.*(5-n)/4)*1.02)./1.05.^n )) == 0)

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