Simultaneity on an interval Spacelike

Today I was trying to figure out what's the mean about a spacelike interval... Here we go.

The first thing I think about it... I didn't have a clear idea about the real meaning of it and that's ok but right now I think I can understand it.

First we're going to discuss about this question, Is there a frame in which spatially separated events are simultaneous?.
Given two events P and Q, we are going to fix P at (0,0) that's just and , with this I just wanted to say we have a point P in a place of space-time. The point Q at . If that place exists the time measured will be and it should be 0. We're going to talk about it. The way to work with frames in relativity is with the Lorentz transformations, a frame with a relative velocity of P could be described by

,

just set (natural units). We want those events to be simultaneous ().
Setting at the Lorentz transformation, we'll get

,

this velocity can't overtake the velocity of light, we have

.

We just have to check what's a spacelike interval. This kind of intervals are defined by

.

In 1-D the interval will be

,

this is just that we've derived.

We can conclude that in a spacelike interval, there is a frame where you can have two events simultaneous.