document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=548292>Question 548292</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you help me solve this equation?\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F%28x-3%29%2B2%2Fx=1 ALIGN=MIDDLE  ALT=\"2%2F%28x-3%29%2B2%2Fx=1\"   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 #356873 by </B><A HREF=/tutors/aboutme.mpl?userid=mathie123><B>mathie123(224)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathie123><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=356873\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F%28x-3%29%2B2%2Fx=1 ALIGN=MIDDLE  ALT=\"2%2F%28x-3%29%2B2%2Fx=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I don't know about you... but I do not like having fractions... lets get rid of them!<BR>\n" );
document.write( "To do this, we will first multiply every term by x-3 to get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%2A%282%2F%28x-3%29%29%2B%28x-3%29%2A%282%2Fx%29=%28x-3%29%2A1 ALIGN=MIDDLE  ALT=\"%28x-3%29%2A%282%2F%28x-3%29%29%2B%28x-3%29%2A%282%2Fx%29=%28x-3%29%2A1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2B%282x-6%2Fx%29=%28x-3%29 ALIGN=MIDDLE  ALT=\"2%2B%282x-6%2Fx%29=%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now let's multiply every term by x<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2A2%2Bx%2A%282x-6%2Fx%29=x%2A%28x-3%29 ALIGN=MIDDLE  ALT=\"x%2A2%2Bx%2A%282x-6%2Fx%29=x%2A%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B2x-6=x%5E2-3x ALIGN=MIDDLE  ALT=\"2x%2B2x-6=x%5E2-3x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x-6=x%5E2-3x ALIGN=MIDDLE  ALT=\"4x-6=x%5E2-3x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This is just a quadratic, so lets put it in the form ax^2+bx+c=0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x-6-4x%2B6=x%5E2-3x-4x%2B6 ALIGN=MIDDLE  ALT=\"4x-6-4x%2B6=x%5E2-3x-4x%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=x%5E2-7x%2B6 ALIGN=MIDDLE  ALT=\"0=x%5E2-7x%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now we need to think of two numbers that multiply to our c value (6) and add to our b value (-7) ... if you think hard enough you will find that -1 and -6 does the trick.  <BR>\n" );
document.write( "So our equation factors to <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%29%28x-6%29=0 ALIGN=MIDDLE  ALT=\"%28x-1%29%28x-6%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now if two things have a product of 0, then at least one of them must be equal to 0 <BR>\n" );
document.write( "This means<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1 ALIGN=MIDDLE  ALT=\"x=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-6=0 ALIGN=MIDDLE  ALT=\"x-6=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=6 ALIGN=MIDDLE  ALT=\"x=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "And there is the two solutions:)  </SPAN>\n" );
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