The Fax Machine Keeps Saying Busy on your HP machine means that we initiated the call but your destination was busy. It generally indicates that the number you attempted to send the faxes to, was busy or did not respond to your incoming fax. This error will appear if your HP machine does not have a dial tone. To easily fix this problem, you will have to wait for a couple of minutes and the try to resend your fax. In case, the fax machine is still stating line busy/no answer, then figure out your fax machine if there is any fault in it. If fax machine is faulty, try to send a test fax to another fax number in order to effectively cope-up this problem.