I'm studying time dilation, doing the math involved so i understand as i go along. Being the time it is however, i am flunking my simple mathematics. Can someone solve this equation for me for Δt', and tell me the steps while you do, so I can write them down?

Δt' = (2*√(((1/2)*v*Δt')² + L²))/c

That reads- Change in t' is equal to two times the squart root of one-half times v times the change for t' squared plus L squared all over c

I just need to solve for Δt'. Leaving all the variables in. Can someone tell me the steps- the answer should come out to be:

Δt' = (2L/c)/√(1-v²/c²)

That's read - Change of t' is equal to 2 times L divided by c all over the square root of 1 minus v squared over c squared.