how to solve matrix equation

I'd like to estimate the parameters of the following equation: Ax + By + Cz + D = 0.
There are thousands of instance of [x y z]. So we can have:
x_1 y_1 z_1 1 A 0
x_2 y_2 z_2 1 * B = 0
... C 0
x_n y_n z_n 1 D 0
How to solve it?
I'm using mldivide to compute it. However give me all zeros.
How to avoid the zeros answer?

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