Factoring polynomial through grouping

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DPXJube
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Homework Statement


2n - 6m + 5n^2 - 15mn


Homework Equations


No particular equation since this is factoring


The Attempt at a Solution


Keep in mind that I struggle when it comes to grouping as I'm not sure where I'm supposed to start but...

2n - 6m + 5n^2 - 15mn
Group first 2 terms together
2n - 6m
GCF is 2. Factor into...
2(n-3n)
Group last 2 terms together
5n^2 - 15mn
GCF is 5n. Factor into
5n(n - 3m) (For this part I'm not too sure what happens to the exponent. I assume me dividing 5n^2 by 5n turned it into a 1)
Now I have
2(n+3)5n(n - 3m)

From this point on I have no idea what to do.
Help would be much appreciated.
 
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You've made a number of very sloppy errors. Do it again slowly and be sure not to change letters and operation signs.