SOLUTION: how would you solve for x in this equation: 3x + xSR3 = 3 + 3SR3 I'm studying for the GMAT and one practice book had this question but didn't give anything but the solution (x=

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Question 133322: how would you solve for x in this equation:
3x + xSR3 = 3 + 3SR3
I'm studying for the GMAT and one practice book had this question but didn't give anything but the solution (x=SR3) and it has been bugging me something terrible.
Thanks.

Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
how would you solve for x in this equation:

I'm studying for the GMAT and one practice book had this question but didn't give anything but the solution (x=) and it has been bugging me something terrible.
 
Factor x out on the left side:
 

 
Divide both sides by 
 

 
Cancel on the left:
 

 

 
Put parentheses around the top because we
are going to be multiplying:
 

 
Rationalize the denominator by multiplying
by the conjugate of the denominator over
itself.  That is, multiply by , which
can't affect the value since it equals 1.
 

 

 
Now use the "FOIL" principle on the
top and bottom:
 

 
Combine the two middle terms in the top:
 

 
The middle two terms on the bottom cancel:
 

 

 
Replace  by 
 

 

 

 
Cancel the 's
 




Edwin

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