Question 902872
{{{A(A+7)=408}}}
{{{A^2+7A=408}}}
{{{A^2+7A-408=0}}}
{{{(A+24)(A-17)=0}}}
Two solutions:
{{{A+24=0}}}
{{{A=-24}}}
Then 
{{{A+7=-17}}}
and
{{{A-17=0}}}
{{{A=17}}}
Then,
{{{A+7=24}}}
The two integers are either 17 and 24 or -17 and -24.