The product of a positive number and four more than the number is 32. What is the number?

n(n+4)=32 
n^2+4n-32=0 

n^2+8n-4n-32=0 

n(n+8)-4(n+8)=0 

(n-4)(n+8)=0 

so that n=4 or n=-8 


and since n>0 

n is 4 


:)