I would wash in only warm with a more mild detergent..not Tide or Persil.

Sometimes the black is colorfast well sometimes the black bleeds all over the white. Best you can do though is the mildly warm water and a mild detergent.

I have a checked shirt that is white, dark blue, and light blue. I washed it in Persil 2n1 in Warm water and it survived. I looked at the wash water as it was being pumped out and it contained no trace of dyes so this shirt must contain color fast dyes; even so I don't think this shirt will ever see hot water.

If in doubt, I like mamapinkyos suggestion of mild detergent and warmish water, and if you can see the wash water exit, check it for dye transfer.