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November 2nd, 2014, 10:53 PM  #1 
Newbie Joined: Jun 2014 From: U.S.A Posts: 13 Thanks: 0  This equation has me stumped This is what I basically did: 25x^2=(x+5)(x5) which means multiply 6 by x5 = 6x  30. Multiply 9 by X+5 = 9x  45. Combine them gets me 753x=8x. Add 3 gets 11x/75. giving me a final answer of 75/11 What did i do wrong?!?! Last edited by HelpMeNow; November 2nd, 2014 at 11:14 PM. 
November 2nd, 2014, 11:17 PM  #2  
Senior Member Joined: Jan 2012 From: Erewhon Posts: 245 Thanks: 112  Quote: So: $$\frac{3x75}{x^225}=\frac{8x}{25x^2}=\frac{8x}{x^225}$$ So if $x^225 \ne 0$, you have $3x75=8x$ CB  
November 2nd, 2014, 11:45 PM  #3 
Newbie Joined: Jun 2014 From: U.S.A Posts: 13 Thanks: 0  
November 3rd, 2014, 12:13 AM  #4 
Senior Member Joined: Apr 2013 Posts: 425 Thanks: 24  
November 3rd, 2014, 02:38 AM  #5 
Senior Member Joined: Jan 2012 From: Erewhon Posts: 245 Thanks: 112  
November 3rd, 2014, 03:35 AM  #6  
Math Team Joined: Apr 2010 Posts: 2,780 Thanks: 361  Quote:
 
November 3rd, 2014, 05:56 AM  #7 
Senior Member Joined: Jan 2012 From: Erewhon Posts: 245 Thanks: 112  
November 3rd, 2014, 06:00 AM  #8 
Senior Member Joined: Apr 2014 From: Glasgow Posts: 2,134 Thanks: 720 Math Focus: Physics, mathematical modelling, numerical and computational solutions  $\displaystyle \frac{8x}{25  x^2} = \frac{8x}{(x^2  25)} = \frac{8x}{x^2  25}$ This is so that the denominators on the LHS and RHS are exactly equivalent, so you can equate the numerators. Consequently, you have $\displaystyle 3x  75 = 8x$ instead of $\displaystyle 3x75 = 8x$. Last edited by Benit13; November 3rd, 2014 at 06:02 AM. 

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