please show step by step!

solve for m and n if
mn=1300and
(m+15)(n-30)=1300

multiply the second equation out

mn-30m+15n-4500=1300
but mn=1300
-30m+15n=4500
divide by 15
n-2m=300
n-2600/n =300
n^2-300n-2600=0
and I get n roots as
308.42979517755
-8.4297951775486
and the equivalent m as
4.21489759 or
-154.214898