Need some quick math help >.<

[xcureanddisease]

Hi guys, im in a bit of a mess and I need a quick clutch answer for:

completely factor 5x^2 = -500

[KuRIoS]

Not sure if this is what you are looking for... but I would start off by simplifying it by moving the -500 to the other side.. (or adding 500 on each side like in the code code box)
5x^2 + 500

and then finding greatest common factor which in this case is 5
that gives us

5(x^2 + 100)

5x^2 = -500

5x^2 + 500 = - 500 + 500 <- that gives us 5x^2 + 500 = 0 and therefore leaves us with:

5x^2 + 500 which you can easily factor