You seem to be phishing for a new laptop for free.  This isnt going to happen.

Overheating is a common problem that would cause a laptop to shut down.

Why would you think I am just phishing for a new laptop?  I have done everything the asked me to do.  They told me that someone can come out and replace the motherboard, but it will not fix it.  Now if that person that comes out to replace the motherboard can tell me something else that might be wrong with it, than I am all for them getting it fixed.  The problem is, the phone tech said he will only replace the motherboard and nothing else.  

Yup, I live about 1.5 hours from Round Rock.  I guess I will just wait until the repair tech calls me and go from there.  See if he will look into other issues it might have.

Then you should be able to get better support.  Dell is in Round Rock Texas.

Again though you did not pay for 24 x 7 x 365 support with onsite repairs.

The Phishing part is this

"For over a year now, I have been having issues with the new laptop. "

"It keeps giving me a BSOD, saying hardware malfunction please contact hardware manufacturer."

What BSOD?

How many Times?

Windows Updates can have undesired effects when users shut the laptop off being angry that it says applying updates do not shut the machine off.

How to Run the Dell™ 32-bit Diagnostics Utility

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Table of Contents:

1. Run the Dell 32-bit Diagnostics
2. Incase 32-bit Diagnostics are not installed
3. Diagnostics Produces an Error

All Dell computers ship with a utility partition on the hard drive that contains the Dell Diagnostic Utility:

1. Restart the computer.
   
   
2. As the computer boots, press when the Dell Splash Screen appears.
   
   
3. When the Boot menu appears, highlight the Boot to Utility Partition option, or the Diagnostics option and then press   to start the 32-bit Dell Diagnostics. 
4. Press the   key to highlight Test SystemPress   to continue to 32-bit Diagnostics.
     Note:

   In some cases PSA Diagnostics will run first. If you receive an error during PSA diagnostics Click Here to go to the PSA Diagnostics Page. To continue onto 32-bit Diagnostics, Press N for No when it asks you to Continue Memory Tests. Press Y To Continue the Memory Tests.
   
   
   • Express Test will run a quick test of devices in the system. This typically can take 10-20 minutes.
   • Extended Test performs a thorough check of devices in the system. This typically can take an hour or more.
   • Custom Test used to test a specific device or customize the tests to be run.Exit to MS-DOS will exit the diagnostics to a command prompt.
   • Symptom Tree. This option lists the most common symptoms and allows you to select tests based on those symptoms.
     
     
     
       Note:

     Express Test is the only test that will not require user involvement.

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You can try Booting to your Resource Disk, to access the 32-bit Diagnostics on it.

1. Insert the Resource Disk into your computer's CD/DVD Rom.
2. Restart the computer.
   
   
3. As the computer boots, press when the Dell Splash Screen appears.
   
   
4. When the Boot menu appears, highlight CDROM or the equivialent and press the    key to start the 32-bit Dell Diagnostics. 

If the computer did not ship with a resource disk or the original diagnostics are not available, download the diagnostics by performing the following steps:

1. 
   Click Drivers and Downloads to enter the Drivers and Downloads page.
2. 
   Click

   Enter a Tag

    to use your Service Tag to find the diagnostics.
   
   

   	Note:
   	If the Service Tag is not available, click   Select Model and select the appropriate Product Type and Product Model.

3. 
   Click Go. If the Product Type and Product Model had been selected, click Confirm.
4. 
   Select the desired operating system, driver language, and importance settings from the drop-down boxes as pictured below (Figure 1). The Category drop-down box should be set to Diagnostics.
   
   

   Operating System:       Windows XP Driver Language:       English Category:       Diagnostics Importance:       All

   Figure 1: Drivers and Downloads Drop-Down Selections
5. 
   Select the Dell 32-Bit Diagnostics (Graphical User Interface version) from the column labeled File Title to display the download page (Figure 2).
   
   

   File Title  < b>

   Importance

   Figure 2: File Title Column
   

   	Note:
   	If you have the information provided from the online System Information utility or your invoice, please refer to it for what drivers to download.

6. 
   Review the information on the page and take note of  Installation Instructions and Important Information.
7. 
   Click  Download Now. You may receive a warning and an option to run or save the file.
8. 
   Click Save.
9. 
   When the Save As window appears, designate a folder to save the file that is being downloaded and click Save.
10. 
    When the download is complete, follow the instructions provided in the Installation Instructions (as viewed in step 6 above).

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If the Diagnostics Produces an Error, you may have a Hardware problem. Please use the Link below for information to Contact Us.
Click Here to Contact Technical Support
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Dell Doesn't have a warranty that gives you a brand new laptop whenever an issue arises.

Dell Does have support options that would "fix" just about any issue ; However these options are not free and cost more than

10 new Laptops.     I have Gold Support, Onsite Coverage and 7 x 24 x 365 onsite repair with a dell authorized onsite Tech.

The onsite Tech Alone Costs $250,000 per year. What country are you in?  Replacing the motherboard would not fix the issue if the cooling fans are plugged with dust bunnies.  It also would not fix bad Ram, Bad Hard Drive, or Driver conflicts, malware etc.

Texas, US

They have been known to replace laptops to new ones. Once you have done all the troubleshooting and they feel its the only option they may well replace it.