document.write( "Question 143456: solve the proportion. check for extranious solutions.\r
\n" ); document.write( "\n" ); document.write( "2/6x+1 = 2x/1\r
\n" ); document.write( "\n" ); document.write( "thanks :)
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Algebra.Com's Answer #104406 by edjones(8007)\"\" \"About 
You can put this solution on YOUR website!
2/(6x+1) = 2x/1 I assume that this is the problem.
\n" ); document.write( "2/(6x+1) = 2x
\n" ); document.write( "2=2x(6x+1)
\n" ); document.write( "12x^2+2x=2
\n" ); document.write( "12x^2+2x-2=0
\n" ); document.write( "2(6x^2+x-1)=0
\n" ); document.write( "6x^2+3x-2x-1=0 6*-1=-6 What factors of -6 add up to +1? Ans: +3 and -2
\n" ); document.write( "3x(2x+1)-(2x+1)=0 Factoring by grouping.
\n" ); document.write( "(3x-1)(2x+1)=0
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\n" ); document.write( "3x=1
\n" ); document.write( "x=1/3
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\n" ); document.write( "2x=-1
\n" ); document.write( "x=-1/2
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\n" ); document.write( "Check:
\n" ); document.write( "2/(6x+1) = 2x
\n" ); document.write( "2/(2+1)=2/3 true
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\n" ); document.write( "2/(6x+1) = 2x
\n" ); document.write( "2/(-3+1)=-1 true
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\n" ); document.write( "Ed\r
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