Question: Solve system of 9 quadratic equations in 12 variables

Hello everyone,

I'm trying to solve a system of 9 quadratic equations in 12 variables. I would like to know if there exists at least one solution, where the variables are different from zero, but the evaluations lasts for too long. The system is defined in

In alternative, I added 3 more equations:

a1 = b1

b2 = c2

e1 = f1

in order to have the same number of variables and equations. And finally I added the constraints that a1>0 not to get the solution where all the variables are null. The modified system is defined in

Again, the evaluation lasts for too long, I don't know how to solve it or at least see if a solution exists.

Please, can you help me? 


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