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([tex]\Delta[/tex]x')

^{2}= ([tex]\Delta[/tex]x)

^{2}- c

^{2}([tex]\Delta[/tex]t)

^{2}

And the accompanying text: "Show that (the equation above) is the same for all reference frames in special relativity"

I consider myself somewhat decent with your basic special relativity calculations but I'm having trouble starting this one. I'm not interested in an answer as much as a gentle nudge in the correct direction.

What is this question asking for, mathematically? I don't even know where I should be ending up...