SOLUTION: Melvin needs to set up 182" chairs in a rectangular pattern for a convention. The number of rows is 19 less than three times the number of chairs in a row. How many rows does he ne

Question 878153: Melvin needs to set up 182" chairs in a rectangular pattern for a convention. The number of rows is 19 less than three times the number of chairs in a row. How many rows does he need and how many chairs in each row? (Find solutions, rows, and chairs in row)
Rows= 3x-19
Chairs in row= x
So far I have x(3x-19)=3x^2-19x+1820 the solutions I got were 3.167-24 and 3.167+24. Is this correct? If not I need the solutions, rows, and chairs in row.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
No, you need to have an integer solution.
Let R be the number of rows, C the number of chair in a row.

Substituting,

<-- Your sign on the constant is wrong.
You can factor this equation,

The negative solution doesn't make sense in this problem.

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