How do you handle irate customers which at the same time giving them customer satisfaction?

I think what we need to understand is customers are not Irate but the situation they going through drives them to behave Irate.

When handling such customers keep your mind clear that they are not mad at you and this will help you handle the customer better. 

Just by listening to their concern and gives assurance to make them feel that you understand the problem or knows the product well and to help them fix the issue. Try not to escalate the problem or just by leaving a step by step procedure or even giving a reference number. Instead, try to analyze and fix the problem right away in a good and calm manner.

you need to empathize to the customer. Cool they down tell them thank you for bring this issue to us we will resolve this matter and I will read you previous complaint and I will get back to you within the day inorder to resolve your problem then once again I am sorry