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How would you solve it if it were an equality?

im not sure.

(-infinity,-4)U(3/2,infinity)

do you think you could show me how you got that answer?

If you had:
\[\frac{4}{x-3} - \frac{1}{2x} = 0\]
What would your first step be.

find a common denominator

That's one way to start. Lets go with that since it's your intuition

So what would that look like?

i just want to know how you get the answer (-infinity,-4)U(3/2,infinity) ?

This is how you get the answer

Polpak is explaning how you get the answer. Listen, she/he knows what they are talking about. :)

yes, how do i get the answer?

ok but i still dont see how you get -4 and (3/2)

Did you solve the relation for x?

yes i did

What did you get?

-15

That doesn't seem quite right. Care to show your work for that?

can you just please show me how to solve it.