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I know that this question will be found little bit stupid, but unfortunatly I can't see where I made a mistake.

Let's have stick with light sources on both ends. In stick's reference frame the flashes from both sources are simultaneous. In laboratory ref. frame they are not. However in laboratory ref. frame the stick is shorter. From these facts we can write that x < x', t' = 0 and t is not equal 0. (add deltas)

The invariance of the interval says that t^2 - x^2 = t'^2 - x'^2. From that t^2 - x^2 = 0 - x'^2 but since t^2 is positive and x^2 is smaller than x'^2 we can not find any noncomplex equality.

Please explain me where I made the mistake or what is wrong with this thinking. I will be really glad,