SOLUTION: This is a through back question that I was curious about. -3x/x = x/-3 I came up with x^2 -9x = 0 Am I right? If not please explain.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: This is a through back question that I was curious about. -3x/x = x/-3 I came up with x^2 -9x = 0 Am I right? If not please explain.      Log On


   



Question 194428: This is a through back question that I was curious about.
-3x/x = x/-3
I came up with x^2 -9x = 0
Am I right? If not please explain.

Found 2 solutions by stanbon, jim_thompson5910:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
-3x/x = x/-3
Cross-multiply to get:
--------
x^2 = + 9x
Then x^2-9x = 0
Factor:
x(x-9) = 0
x = 0 or x = 9
=================
Cheers,
Stan H.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28-3x%29%2Fx+=+x%2F%28-3%29 Start with the given equation. Take note that we must make the restriction x%3C%3E0 (to avoid division by zero)


-3+=+-x%2F3 Reduce.


-3%283%29+=+-x Multiply both sides by 3.


-9+=+-x Multiply


-x+=+-9 Rearrange the equation


x+=+9 Divide both sides by -1 to isolate x.


So the solution is x=9