Solving a complex set of on-linear equations

Hello

I have a complex set of equations I am trying to solve.

The givens (knowns) are: a, b, c, d, l, w , n , m , p , f , g and h

I want to solve the equations to get x = ..... in terms of the input variables above.

I ran the following code

syms x y a b c d m n Fa Fc Fi Fs l w g h p f
Eqn1=x*y/b+b*y*((0.5517+y)/(1+2.167*y))/(c/(1-c))-d==0 ;
Eqn2= a*1000/((4*(l+Fc+Fi)*(w+Fa+Fs))+((n-4)*(l+Fc+Fi)*(w+2*Fa)))==y;
Eqn3= (0.1656*x-(0.0043*x^3)+0.105*p-(0.0032*p^2)+0.0394*x*p)*(0.3844+0.06166*(m-x)+0.001822*(l+w)-(0.000178*(m-x)*(l+w)))==Fa;
Eqn4= (0.1656*x-(0.0043*x^3)+0.105*f-(0.0032*f^2)+0.0394*x*f)*(0.3844+0.06166*(m-x)+0.001822*(l+w)-(0.000178*(m-x)*(l+w)))==Fc;
Eqn5=(0.1656*x-(0.0043*x^3)+0.105*g-(0.0032*g^2)+0.0394*x*g)*(0.3844+0.06166*(m-x)+0.001822*(l+w)-(0.000178*(m-x)*(l+w))) ==Fi;
Eqn6=((0.1656*x-(0.0043*x^3)+0.105*h-(0.0032*h^2)+0.0394*x*h)*(0.3844+0.06166*(m-x)+0.001822*(l+w)-(0.000178*(m-x)*(l+w))))==Fs;
Eqns =[Eqn1, Eqn2, Eqn3, Eqn4, Eqn5, Eqn6]
solx = solve(Eqns,x)

When I run

solx.x 

to get the answer it returns Empty sym: 0-by-1

What am I doing wrong and how can I solve the equation in terms of x

[Bjorn Gustavsson]

Well, you have 6 equations and one unknown. That means that your equations might each have a solution, but they might not be the same, and if those solutions are not the same your system of solutions doesn't have a solution.

Even if you treat both x and y as unknowns you still have 6 equations in 2 unknowns. Then you might separate them into 3 pair of equations for x and y, where the solutions might again "not necessarily" be the same - and we'd be back at the same scenario as above.