document.write( "Question 121277: Hi. May I have some help with the following equation?\r
\n" ); document.write( "\n" ); document.write( "Find all real solutions of the following equation. (If there are extra answer boxes, enter NONE.)\r
\n" ); document.write( "\n" ); document.write( "(x/(x+7))^2 = (4 x)/(x+7) - 4
\n" ); document.write( "

Algebra.Com's Answer #88977 by checkley71(8403)\"\" \"About 
You can put this solution on YOUR website!
(X/(X+7))^2=(4X)/(X+7)-4
\n" ); document.write( "X^2/(X^2+14X+49)=4X/(X+7)-4
\n" ); document.write( "X^2/(X^2+14X+49)=(4X-4(X+7))/(X+7)
\n" ); document.write( "X^2/(X^2+14X+49)=(4X-4X-28)/(X+7)
\n" ); document.write( "X^2/(X^2+14X+49)=-28/(X+7) NOW CROSS MULTIPLY
\n" ); document.write( "X^2(X+7)=-28(X^2+14X+49)
\n" ); document.write( "X^2(X+7)=-28(X+7)(X+7) DIVIDE BOTH SIDES BY (X+7)
\n" ); document.write( "X^2=-28X-196
\n" ); document.write( "X^2+28X+196=0
\n" ); document.write( "(X+14)^2=0
\n" ); document.write( "X+14=0
\n" ); document.write( "X=-14 ANSWER.
\n" ); document.write( "PROOF
\n" ); document.write( "[-14/(-14+7)]^2=4*-14/(-14+7)-4
\n" ); document.write( "(-14/-7)^2=-56/-7-4
\n" ); document.write( "2^2=8-4
\n" ); document.write( "4=4\r
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