What function to use to solve an equation for a variable that's on both sides of the equation?

I need to find s. Every other variable is given; they're all constants except for "e" which is a vector (of 50 given values).

s = a / b

where a = 3 * c^2 * d where c = sqrt(e/(3*d*s))

and b = e - f * g^2 where g = c + (c*s)/(1-s)

I'm confused because s is difficult to isolate manually....

Should I try put the equations all together in order to get s = ........ ? and then put the single s on the right side of the equation so i have an equation == 0 ? What MATLAB function would I have to use to solve it that way? Or is there a simpler manner?

Thanksss

[Ameer Hamza]

You said "I need to find s. Every other variable is given". But then you can simply find s using s = a/b.

Answer 1

[KSSV]

syms s a b c d e f g 

c = sqrt(e/(3*d*s)) ;
g = c + (c*s)/(1-s) ; 
a = 3*c^2*d ;
b = e-f*g^2 ; 

eqn = s - a/b==0 ;

Try using solve in eqn.

sol = solve(eqn,s) ;

Answer 2

[Ameer Hamza]

Also see solve() function: https://www.mathworks.com/help/symbolic/solve.html.