Question 170960
200000/x=c   where x is the number of people in the club
:
200000/x+5=c-2000
:
so {{{200000/(x+5)=(200000/x)-2000}}}---> multiply all terms by x(x+5)
:
{{{200000x=200000(x+5)-2000(x^2+5x)}}}distribute
:
{{{200000x=200000x+1000000-2000x^2-10000x}}} 200000x terms cancel each other and divide rest of terms by 2000.
:
{{{-x^2-5x+500=0}}}--->x^2+5x-500=0}}}

20 and -25 are the values for x but we know there arent negative people so 20 is our value for x meaning that
:
THERE ARE CURRENTLY{{{20}}} PEOPLE IN THE CLUB

*[invoke quadratic "x", 1, 5, -500]