Two verbs in one sentence

In Turkish, when you have two verbs in the same sentence, you are free to not conjugate the first one. You use a suffix ıp/ip/up/üp instead of adding the tense and personal suffixes.

Dışarı çıkıp temiz hava aldım. Dışarı çıktım ve temiz hava aldım.

I went out and took fresh air.

I did them in a row and as I used -ıp, I do not need to say "ve sonra"(and then) after the first verb. -ıp do the job and sound like I did the fırst thing to do the second.

Televizyon izleyip müzik dinleyeceğim. Televizyon izleyeceğim ve müzik dinleyeceğim.

I will watch TV and listen to music.

This is future tense, maybe you do something else between, it does not necssarily mean they have a time relationship. -ip just replaced the word "ve"(and).

Yemek yiyip konuşuyorlar. Yemek yiyorlar ve konuşuyorlar.

They are eating dinner and talking. 

As this is present continuous, we can guess/think that they do these two at the same time. So you do not need to say "aynı anda/aynı zamanda"(at the same time)

So, what is the formula? 

take the verb stem

look at the last vowel

if it is a,ı then use ıp yap-mak ,yap, a --> yapıp yapmak: to do

e,i --> ip gidip gitmek: to go

o,u --> up sorup sormak: to ask

ö,ü --> üp görüp görmek: to see

And if your verb stem ends with a vowel, then add y also. susa-mak, susa, a --> susayıp susamak: to get thursty 

I hope that you defeated one more suffix and now it is less likely for you to get confused with the verb forms when you see them. Have a nice day!