Question 1209937
<pre>
{{{f(x*y) + x = x*f(y) + f(x) + x*y^2}}}

Let x = -1 and y = -100

{{{f((-1)*(-100)^"") + (-1) = (-1)*f(-100) + f(-1) + (-1)*(-100)^2}}}

{{{f(100) - 1 = -f(-100) + 3 - 10000}}}

{{{f(100) + f(-100) = -9996}}}   <--equation 1

{{{f(x*y) + x = x*f(y) + f(x) + x*y^2}}}

Let x = 100 and y = -1

{{{f((100)*(-1)^"") + (100) = (100)*f(-1) + f(100) + (100)*(-1)^2}}}

{{{f(-100) + 100 = 100*3 + f(100) + 100}}}

{{{f(-100) - f(100) = 300}}}

{{{-f(-100) + f(100) = -300}}}

{{{f(100)-f(-100) = -300}}}   <--equation 2

Solve equations 1 and 2:

{{{system(f(100) + f(-100) = -9996, f(100)-f(-100) = -300)}}}

Add the two equations:

{{{2*f(100)=-10296}}}

{{{f(100)=-5148}}}

Edwin</pre>