document.write( "Question 192498: 3x(x+3)=2(5x+1) \n" ); document.write( "
Algebra.Com's Answer #144521 by jojo14344(1513)\"\" \"About 
You can put this solution on YOUR website!

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\n" ); document.write( "Given: 3x(x+3)=2(5x+1)\r
\n" ); document.write( "\n" ); document.write( "Expand:
\n" ); document.write( "\"3x%5E2%2B9x=10x%2B2\"
\n" ); document.write( "\"3x%5E2%2B9x-10x-2=0\"
\n" ); document.write( "\"3x%5E2-x-2=0\", where\"system%28a=3%2Cb=%28-1%29%2Cc=%28-2%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "Then,
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\n" ); document.write( "\"x=%281%2B-sqrt%281%2B24%29%29%2F6=%281%2B-sqrt%2825%29%29%2F6=%281%2B-5%29%2F6\"\r
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\n" ); document.write( "\n" ); document.write( "Two values:
\n" ); document.write( "\"x=%281%2B5%29%2F6=6%2F6=red%281%29\"
\n" ); document.write( "\"x=%281-5%29%2F6=-4%2F6=red%28-2%2F3%29\"\r
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\n" ); document.write( "\n" ); document.write( "Let us check: x = 1
\n" ); document.write( "\"3x%28x%2B3%29=2%285x%2B1%29\"
\n" ); document.write( "\"3%281%29%281%2B3%29=2%285%2A1%2B1%29\"
\n" ); document.write( "\"3%2A4=2%2A6\"
\n" ); document.write( "\"12=12\", good\r
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\n" ); document.write( "\n" ); document.write( "x = -2/3
\n" ); document.write( "\"3%28-2%2F3%29%28-2%2F3%2B3%29=2%285%28-2%2F3%29%2B1%29\"
\n" ); document.write( "\"%28-2%29%28%28-2%2B9%29%2F3%29=2%28-10%2F3%2B1%29\"
\n" ); document.write( "\"%28-2%29%287%2F3%29=2%28%28-10%2B3%29%29%2F3\"
\n" ); document.write( "\"-14%2F3=2%28-7%2F3%29\"
\n" ); document.write( "\"-14%2F3=-14%2F3\", good\r
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\n" ); document.write( "\n" ); document.write( "Let us see the graph:
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\n" ); document.write( "\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo
\r
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