Equilibrium States on Force Tables

[Phyzwizz]

How I am supposed to explain why with three forces on a force table there is only one equilibrium state.
Also I need to explain the reasons for when there are four forces on the force table it is possible to have two equilibrium states. And if it is possible to have more than 2.

I think my main problem may be in understanding what exactly an equilibrium state is. I know its the point where all the forces balance out to 0 but I feel like I'm missing something in the definition that is preventing me from solving the problem.

 

[jbsteele]

An equilibrium state is a condition of balance in a system where all forces present in the system are equal and opposite, resulting in no net force on the system. In other words, when all the forces in the system cancel each other out, the system is in equilibrium. When there are three forces on a force table, the only equilibrium state possible is one where all the forces balance out to zero, meaning that the sum of all the forces in the system must be zero. This is because if any of the forces are not in balance, then the system will be out of equilibrium. When there are four forces on a force table, it is possible to have two equilibrium states. This is because with four forces, there are two different sets of forces that can be balanced out. The first set can be the forces between two pairs of oppositely directed forces, and the second set can be the forces within each pair. If any of the forces are not in balance, then the system will be out of equilibrium. It is also possible to have more than two equilibrium states, depending on the configuration of the forces.