Solve the plane equation of (1,2,1) and (2, - 1,2) and parallel to the vector {3,2,1}

Solve the plane equation of (1,2,1) and (2, - 1,2) and parallel to the vector {3,2,1}

Let the plane be ax + by + CZ + D = 0
The plane normal vector is (a, B, c) perpendicular to (3, 2, 1)
There is 3A + 2B + C = 0
The point is on the plane
Then a + 2B + C + D = 0
2A-B+2C+D=0
Three equations and four unknowns
A, B, C can be represented by D
Eliminate D on both sides of plane equation and transform it into general form