Find the coordinates of the point (x, y, z) on the plane z = 2 x + 1 y + 4 which is closest to the origin

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Find the coordinates of the point (x, y, z) on the plane z = 2 x + 1 y + 4 which is closest to the origin.

x = 

y = 

z = 

HINT. You need to minimize the distance d from the origin to the point (x,y,z). Equivalently, you can minimize d2, which is simpler. Express d2 (which depends on (x,y,z)) in terms of x,y only; then minimize that function of x and y.