Someone wanna help a girl out? (x/5)-(5/x)=0

Question

anonymous · Answer

hahahhah..lol @what you said before the ques!! :D

anonymous · Answer

Well no one will help me!!):

turingtest · Answer

coercion, lol
what is the least common multiple of the two denominators?

anonymous · Answer

x? 5? i don't know..

turingtest · Answer

when you have two different denominators like that you can always multiply them together to get a common denominator (though if you just multiply them all it may not be the *least* common multiple)
so in your case your common deonominator is $5\times x=5x$

anonymous · Answer

Okay then what?

turingtest · Answer

now multiply the whole equation by that

turingtest · Answer

then please show what you have left after
I will help you from there

anonymous · Answer

I have 5x(x/5-5/x=0).. How do you multiply that?

turingtest · Answer

well first you can distribute on the left (I am only writing the left side right now):$$5x(\frac x5+\frac5x)=5x\cdot\frac x5+5x\cdot\frac5x$$can you simplify this?

anonymous · Answer

Dude.. You just confused me.

turingtest · Answer

do you know how to distribute?$$a(b+c)=ab+ac$$^look familiar?

anonymous · Answer

uh uh..

anonymous · Answer

how about hit and trial an x=5 and -5..case closed! ;)

turingtest · Answer

so that is what we did above
a=5x
b=x/5
c=5/x
then we just distributed like usual

turingtest · Answer

$$5x(\frac x5+\frac5x)=5x(\frac x5)+5x(\frac5x)$$now simplify
what is$$5x(\frac x5)$$?