document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=144708>Question 144708</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help with this homework problem:<BR>\n" );
document.write( "t+22/t square-t-72 + 8/t-9 = 4/t+8\r<BR>\n" );
document.write( "\n" );
document.write( "Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #105445 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=105445\">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=%28t%2B22%29%2F%28t%5E2-t-72%29%2B%288%29%2F%28t-9%29=%284%29%2F%28t%2B8%29 ALIGN=MIDDLE  ALT=\"%28t%2B22%29%2F%28t%5E2-t-72%29%2B%288%29%2F%28t-9%29=%284%29%2F%28t%2B8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28t%2B22%29%2F%28%28t-9%29%28t%2B8%29%29%2B%288%29%2F%28t-9%29=%284%29%2F%28t%2B8%29 ALIGN=MIDDLE  ALT=\"%28t%2B22%29%2F%28%28t-9%29%28t%2B8%29%29%2B%288%29%2F%28t-9%29=%284%29%2F%28t%2B8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5E2-t-72 ALIGN=MIDDLE  ALT=\"t%5E2-t-72\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28t-9%29%28t%2B8%29 ALIGN=MIDDLE  ALT=\"%28t-9%29%28t%2B8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28t-9%29%28t%2B8%29%29%28%28t%2B22%29%2F%28%28t-9%29%28t%2B8%29%29%29%2B%28%28t-9%29%28t%2B8%29%29%28%288%29%2F%28t-9%29%29=%28%28t-9%29%28t%2B8%29%29%28%284%29%2F%28t%2B8%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply <b>every</b> term by the LCD <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28t-9%29%28t%2B8%29 ALIGN=MIDDLE  ALT=\"%28t-9%29%28t%2B8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to clear out the fractions\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cross%28%28t-9%29%29cross%28%28t%2B8%29%29%29%28%28t%2B22%29%2F%28cross%28%28t-9%29%29cross%28%28t%2B8%29%29%29%29%2B%28cross%28%28t-9%29%29%28t%2B8%29%29%28%288%29%2Fcross%28%28t-9%29%29%29=%28%28t-9%29cross%28%28t%2B8%29%29%29%28%284%29%2Fcross%28%28t%2B8%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Cancel like terms\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28t%2B22%29%2B%28t%2B8%298=%28t-9%294 ALIGN=MIDDLE  ALT=\"%28t%2B22%29%2B%28t%2B8%298=%28t-9%294\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2B22%2B8t%2B64=4t-36 ALIGN=MIDDLE  ALT=\"t%2B22%2B8t%2B64=4t-36\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9t%2B86=4t-36 ALIGN=MIDDLE  ALT=\"9t%2B86=4t-36\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the left side\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9t=4t-36-86 ALIGN=MIDDLE  ALT=\"9t=4t-36-86\"   DISABLED_style= \"max-width:90%; height:auto;\" >Subtract 86 from both sides\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9t-4t=-36-86 ALIGN=MIDDLE  ALT=\"9t-4t=-36-86\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 4t from both sides\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5t=-36-86 ALIGN=MIDDLE  ALT=\"5t=-36-86\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the left side\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5t=-122 ALIGN=MIDDLE  ALT=\"5t=-122\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the right side\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=%28-122%29%2F%285%29 ALIGN=MIDDLE  ALT=\"t=%28-122%29%2F%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 5 to isolate t\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=-122%2F5 ALIGN=MIDDLE  ALT=\"t=-122%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "--------------------------------------------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "Answer:\r<BR>\n" );
document.write( "\n" );
document.write( "So our answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=-122%2F5 ALIGN=MIDDLE  ALT=\"t=-122%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >  (which is approximately <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=-24.4 ALIGN=MIDDLE  ALT=\"t=-24.4\"   DISABLED_style= \"max-width:90%; height:auto;\" > in decimal form)\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );