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  1. eqn[x_, y_, z_] := z^2 + 3 z + x^2 + y^2 == 0
  2. ContourPlot[
  3. z /. FindRoot[eqn[x, y, z], {z, 1}], {x, 0, 2}, {y, 0, 2},
  4. PlotLegends -> Automatic]
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