document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=14446>Question 14446</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me solve this equation 5x^2 + 33x -14 = 0 i know the answer is 0.4 but dont know how to show this or to work it out the proper way </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #7238 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=7238\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Remember that quadratic equations have two solutions: The two solutions may be identical or they may be different, but there will be two of 'em.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%5E2+%2B+33x+-+14+=+0 ALIGN=MIDDLE  ALT=\"5x%5E2+%2B+33x+-+14+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > This can be factored.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285x+-+2%29%28x+%2B+7%29+=+0 ALIGN=MIDDLE  ALT=\"%285x+-+2%29%28x+%2B+7%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Apply the zero products principle.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285x+-+2%29+=+0 ALIGN=MIDDLE  ALT=\"%285x+-+2%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+%2B+7%29+=+0 ALIGN=MIDDLE  ALT=\"%28x+%2B+7%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x+-+2+=+0 ALIGN=MIDDLE  ALT=\"5x+-+2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x+=+2 ALIGN=MIDDLE  ALT=\"5x+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+2%2F5 ALIGN=MIDDLE  ALT=\"x+=+2%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+0.4 ALIGN=MIDDLE  ALT=\"x+=+0.4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+7+=+0 ALIGN=MIDDLE  ALT=\"x+%2B+7+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-7 ALIGN=MIDDLE  ALT=\"x+=+-7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The two roots are:\r<BR>\n" );
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document.write( "x = 0.4<BR>\n" );
document.write( "x = -7 </SPAN>\n" );
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