document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=105574>Question 105574</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Tutor please help me with this question<BR>\n" );
document.write( "8(1+1/2)^2 +22(1+1/t)+15=0<BR>\n" );
document.write( "  Thank you!\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #76814 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=76814\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%281%2B1%2F2%29%5E2+%2B22%281%2B1%2Ft%29%2B15=0 ALIGN=MIDDLE  ALT=\"8%281%2B1%2F2%29%5E2+%2B22%281%2B1%2Ft%29%2B15=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Inside the first set of parentheses, add the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+%2B+1%2F2 ALIGN=MIDDLE  ALT=\"1+%2B+1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is the same as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+%2B+.5 ALIGN=MIDDLE  ALT=\"1+%2B+.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.5 ALIGN=MIDDLE  ALT=\"1.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Then square that quantity to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.5%5E2+=+2.25 ALIGN=MIDDLE  ALT=\"1.5%5E2+=+2.25\"   DISABLED_style= \"max-width:90%; height:auto;\" >. This reduces the<BR>\n" );
document.write( "problem to:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2A2.25+%2B+22%281%2B+1%2Ft%29+%2B+15+=+0 ALIGN=MIDDLE  ALT=\"8%2A2.25+%2B+22%281%2B+1%2Ft%29+%2B+15+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Multiplying the 8 times 2.25 results in 18 and the problem then is simplified to:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18+%2B+22%281+%2B+1%2Ft%29+%2B+15+=+0 ALIGN=MIDDLE  ALT=\"18+%2B+22%281+%2B+1%2Ft%29+%2B+15+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Next, multiply the 22 times each of the terms in the remaining set of parentheses. The<BR>\n" );
document.write( "22 times the 1 is 22 and the 22 times the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Ft ALIGN=MIDDLE  ALT=\"1%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22%2Ft ALIGN=MIDDLE  ALT=\"22%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" >. This makes the equation<BR>\n" );
document.write( "become:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18+%2B+22+%2B+22%2Ft+%2B+15+=+0 ALIGN=MIDDLE  ALT=\"18+%2B+22+%2B+22%2Ft+%2B+15+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Then combine the 18 with the +22 and the +15 to get the sum 55. The equation is then:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=55+%2B+22%2Ft+=+0 ALIGN=MIDDLE  ALT=\"55+%2B+22%2Ft+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "By subtracting 55 from both sides you separate the two terms and make the equation:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22%2Ft+=+-55 ALIGN=MIDDLE  ALT=\"22%2Ft+=+-55\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Multiply both sides of this equation by t to eliminate the denominator and make the equation:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22+=+-55t ALIGN=MIDDLE  ALT=\"22+=+-55t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Solve for t by dividing both sides by -55 and you have:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+22%2F%28-55%29 ALIGN=MIDDLE  ALT=\"t+=+22%2F%28-55%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Notice that both the numerator and the denominator have a common factor of 11. So you can<BR>\n" );
document.write( "simplify the answer by dividing both by 11 to get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+2%2F%28-5%29+=+-2%2F5 ALIGN=MIDDLE  ALT=\"t+=+2%2F%28-5%29+=+-2%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Hope this helps you to understand the problem.  </SPAN>\n" );
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