document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=597290>Question 597290</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how to solve this problem? (q+5)(5q-1) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #378322 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=378322\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28q%2B5%29%285q-1%29 ALIGN=MIDDLE  ALT=\"%28q%2B5%29%285q-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression.\r<BR>\n" );
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document.write( "Now let's FOIL the expression.\r<BR>\n" );
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document.write( "Remember, when you FOIL an expression, you follow this procedure:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28highlight%28q%29%2B5%29%28highlight%285q%29-1%29 ALIGN=MIDDLE  ALT=\"%28highlight%28q%29%2B5%29%28highlight%285q%29-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the <font color=\"red\">F</font>irst terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28q%29%2A%285%2Aq%29=5%2Aq%5E2 ALIGN=MIDDLE  ALT=\"%28q%29%2A%285%2Aq%29=5%2Aq%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28highlight%28q%29%2B5%29%285q%2Bhighlight%28-1%29%29 ALIGN=MIDDLE  ALT=\"%28highlight%28q%29%2B5%29%285q%2Bhighlight%28-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the <font color=\"red\">O</font>uter terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28q%29%2A%28-1%29=-q ALIGN=MIDDLE  ALT=\"%28q%29%2A%28-1%29=-q\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28q%2Bhighlight%285%29%29%28highlight%285q%29-1%29 ALIGN=MIDDLE  ALT=\"%28q%2Bhighlight%285%29%29%28highlight%285q%29-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the <font color=\"red\">I</font>nner terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%29%2A%285%2Aq%29=25%2Aq ALIGN=MIDDLE  ALT=\"%285%29%2A%285%2Aq%29=25%2Aq\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28q%2Bhighlight%285%29%29%285q%2Bhighlight%28-1%29%29 ALIGN=MIDDLE  ALT=\"%28q%2Bhighlight%285%29%29%285q%2Bhighlight%28-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the <font color=\"red\">L</font>ast terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%29%2A%28-1%29=-5 ALIGN=MIDDLE  ALT=\"%285%29%2A%28-1%29=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "So we have the terms: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Aq%5E2 ALIGN=MIDDLE  ALT=\"5%2Aq%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-q ALIGN=MIDDLE  ALT=\"-q\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25%2Aq ALIGN=MIDDLE  ALT=\"25%2Aq\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5 ALIGN=MIDDLE  ALT=\"-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Aq%5E2-q%2B25%2Aq-5 ALIGN=MIDDLE  ALT=\"5%2Aq%5E2-q%2B25%2Aq-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now add every term listed above to make a single expression.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5q%5E2%2B24q-5 ALIGN=MIDDLE  ALT=\"5q%5E2%2B24q-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now combine like terms.\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28q%2B5%29%285q-1%29 ALIGN=MIDDLE  ALT=\"%28q%2B5%29%285q-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > FOILs to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5q%5E2%2B24q-5 ALIGN=MIDDLE  ALT=\"5q%5E2%2B24q-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "In other words, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28q%2B5%29%285q-1%29=5q%5E2%2B24q-5 ALIGN=MIDDLE  ALT=\"%28q%2B5%29%285q-1%29=5q%5E2%2B24q-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > for all values of 'q'.<BR>\n" );
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