I don't know if it will help your situation, but we use contact cement as well to glue our carpet down. We are in a permanent location however. It might work if you can work it down between the edges of the tears. Sometimes we are forced to cut it to glue it down and it helps to cut a bevel into the thickness of the carpet.
"Whether you think you can, or think you can't, you're right." -Henry Ford
"[Driving] Genius is 1% inspiration, and 99% perspiration" -T.A. Edison
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