In case you have squares in the equation try to complete it. The equation of a plane is defined as. The single point where all three planes intersect is the unique solution to the system.
Therefore the system of 3 variable equations below has no solution.
The advantage of this is that you may insert the values of the other variables if you know them then you just have to do a simple calculation. P1 where p is the position vector xyz. In case the given equation is in polar form then search for r²or rcos Ɵor rsin Ɵ but in case of Cartesian equation then look for x²y² or x or y. Where is the normal vector of the plane.