For example, if

 and

 and you pair off , then you have exhausted and still have things left over in , so has more elements.

By dividing everything in equation by , we obtain

If we let and , then by replacing these values into equation , we can conclude that a general Cubic Equation is in the form

In order to solve equation , we need to eliminate by replacing

Then is eliminated by letting , so

Then

So equation becomes

Defining

Then allows equation to be

Now replace (Vieta’s Substitution) in equation to get

By multiplying equation by , we get

Now let

So equation becomes

Proof. To prove that the set of Complex Numbers is not ordered, let us assume is ordered. We assume that all suares of non-zero elements in an ordered domain are positive. Hence this implies , which contradicts the definition . Hence can not be ordered.