document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=411272>Question 411272</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, how do I solove a three term quadratic?  Is it by reverse factoring or do I solove each sided term separately?  Would you please help me?\r<BR>\n" );
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document.write( "(4x+10)^2=2x^2+5x+14\r<BR>\n" );
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document.write( "(4x+10)(4x+10)<BR>\n" );
document.write( "16x^2+40x+40x+100=0<BR>\n" );
document.write( "16x^2+80+100=0<BR>\n" );
document.write( "(4x   10)(4x  10) What #'s add up to 80 but equals 100?<BR>\n" );
document.write( "    lost here so switch over to reverse factor\r<BR>\n" );
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document.write( "16x^2+80+100=0<BR>\n" );
document.write( "16x^2+80x+100=0<BR>\n" );
document.write( "4x^2(4+20)+100=0<BR>\n" );
document.write( "not sure what to do here\r<BR>\n" );
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document.write( "-----<BR>\n" );
document.write( "second term 2x^2+5x+14 <BR>\n" );
document.write( "-5+-sqrt((5)^2-4(2)(14))/(2(2))<BR>\n" );
document.write( "-5+-sqrt(25-112)/(4)<BR>\n" );
document.write( "-5+-sqrt(-87)/(4)<BR>\n" );
document.write( "-5+-sqrt(3(29)i)/(4)<BR>\n" );
document.write( "-5+- i sqrt(3(29))/(4)\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #289145 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=289145\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Why don't you simplify the left side, then combine like terms all on to one side to produce a single quadratic equation which can then be solved by the quadratic formula:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x%2B10%29%5E2+=+2x%5E2%2B5x%2B14 ALIGN=MIDDLE  ALT=\"%284x%2B10%29%5E2+=+2x%5E2%2B5x%2B14\"   DISABLED_style= \"max-width:90%; height:auto;\" > Expand the left side.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16x%5E2%2B80x%2B100+=+2x%5E2%2B5x%2B14 ALIGN=MIDDLE  ALT=\"16x%5E2%2B80x%2B100+=+2x%5E2%2B5x%2B14\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like-terms.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14x%5E2%2B75x%2B86+=+0 ALIGN=MIDDLE  ALT=\"14x%5E2%2B75x%2B86+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use quadratic formula.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-75%2B-sqrt%2875%5E2-4%2814%29%2886%29%29%29%2F2%2814%29 ALIGN=MIDDLE  ALT=\"x+=+%28-75%2B-sqrt%2875%5E2-4%2814%29%2886%29%29%29%2F2%2814%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-75%2B-sqrt%28809%29%29%2F28 ALIGN=MIDDLE  ALT=\"x+=+%28-75%2B-sqrt%28809%29%29%2F28\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-3.69 ALIGN=MIDDLE  ALT=\"x+=+-3.69\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-1.66 ALIGN=MIDDLE  ALT=\"x+=+-1.66\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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