How to find the critical points of this function (first deriv. test)?

Standard form: w-x-y-z=0; w-2x+3y-z=-1; w+x-y+2z=2; w-4x+3y-4z=0 1, -1, -1, -1, 0 1, -2, 3, -1, -1 1, 1, -1, 2, 2 1, -4, 3, -4, 0 ----------------------- substitute/eliminate w = +1x+1y+1z-0 1, -1, -1, -1, 0 0, -1, 4, 0, -1 0, 2, 0, 3, 2 0, -3, 4, -3, 0 ----------------------- substitute/eliminate x = +4y+1 1, 0, -5, -1, 1 0, -1, 4, 0, -1 0, 0, 8, 3, 0 0, 0, -8, -3, 3 ----------------------- substitute/eliminate y = -3/8z-0 1, 0, 0, 0.875, 1 0, -1, 0, -1.5, -1 0, 0, 8, 3, 0 0, 0, 0, 0, 3 ----------------------- 1, 0, 0, 0.875, 1.

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