Question 534983
Call the number of rows x<P>
Then the number of seats in each row is x+17 (it exceeds the number of rows by 17).<P>
The total number of seats, 2184 = the number of rows times the number of seats per row, which is x(x+17).<P>
x(x+17)=2184 (subtract 2184 from both sides and multiply what's inside the () by x)<P>

x&2 + 17x -2184 =0  (reverse foil )<P>
(x+56)(x-39)=0  (solve each factor for x<P>
x+56=0  (subtract 56 from both sides)  x=-56.  Throw it away because there can't be a negative number of rows.<P>
x-39=0  (Add 39 to both sides.)  x=39.

There are 39 rows, and 39+17 = 56 seats per row.