document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=214885>Question 214885</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help factoring out this equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2%2B6x%2B1 ALIGN=MIDDLE  ALT=\"9x%5E2%2B6x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #162326 by </B><A HREF=/tutors/aboutme.mpl?userid=drj><B>drj(1380)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drj><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=drj><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=162326\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I need help factoring out this equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2%2B6x%2B1 ALIGN=MIDDLE  ALT=\"9x%5E2%2B6x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 1.  We need to find two integers m & n  that their product is mn=ac=9 where a=9 and b=6 and their sum m+n=6.\r<BR>\n" );
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document.write( "Step 2.  After trial an error the integers are m=n=3.  Then based on the method of grouping where 6x=3x+3x based on the integers m & n, we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2%2B6x%2B1=%289x%5E2%2B3x%29%2B1%2A%283x%2B1%29 ALIGN=MIDDLE  ALT=\"9x%5E2%2B6x%2B1=%289x%5E2%2B3x%29%2B1%2A%283x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 3.  Factoring 3x out of the first group we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2%2B6x%2B1=3x%2A%283x%2B1%29%2B1%2A%283x%2B1%29 ALIGN=MIDDLE  ALT=\"9x%5E2%2B6x%2B1=3x%2A%283x%2B1%29%2B1%2A%283x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 4.  Now factor (3x+1) from both groups since it's common to both of them.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2%2B6x%2B1=%283x%2B1%29%283x%2B1%29 ALIGN=MIDDLE  ALT=\"9x%5E2%2B6x%2B1=%283x%2B1%29%283x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  ANSWER\r<BR>\n" );
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document.write( "I hope the above steps were helpful.\r<BR>\n" );
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document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r<BR>\n" );
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document.write( "Good luck in your studies!\r<BR>\n" );
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document.write( "Respectfully,<BR>\n" );
document.write( "Dr J\r<BR>\n" );
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