document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=330925>Question 330925</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (s+1/4)(s+1/5) Multiply for an answer </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #237265 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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/cgi-bin/show-face.mpl?user=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=237265\">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=%28s%2B1%2F4%29%28s%2B1%2F5%29 ALIGN=MIDDLE  ALT=\"%28s%2B1%2F4%29%28s%2B1%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >...we can write it as\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28s%2B1%2F4%29%28s%2B1%2F5%29=0 ALIGN=MIDDLE  ALT=\"%28s%2B1%2F4%29%28s%2B1%2F5%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "first find common denominator; for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" > it is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20 ALIGN=MIDDLE  ALT=\"20\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20 ALIGN=MIDDLE  ALT=\"20\"   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=%28s%2B1%2F4%29%28s%2B1%2F5%29%2A20=0%2A20 ALIGN=MIDDLE  ALT=\"%28s%2B1%2F4%29%28s%2B1%2F5%29%2A20=0%2A20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2820s%2B%2820%2A1%29%2F4%29%2820s%2B%2820%2A1%29%2F5%29%2A20=0%2A20 ALIGN=MIDDLE  ALT=\"%2820s%2B%2820%2A1%29%2F4%29%2820s%2B%2820%2A1%29%2F5%29%2A20=0%2A20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2820s%2B+5%29%2820s%2B4%29%2A20=0 ALIGN=MIDDLE  ALT=\"%2820s%2B+5%29%2820s%2B4%29%2A20=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28400s%5E2%2B+80s%2B+100s+%2B20%29=0 ALIGN=MIDDLE  ALT=\"%28400s%5E2%2B+80s%2B+100s+%2B20%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28400s%5E2%2B+180s+%2B20%29=0 ALIGN=MIDDLE  ALT=\"%28400s%5E2%2B+180s+%2B20%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >...simplify (divide both side by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10 ALIGN=MIDDLE  ALT=\"10\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2840s%5E2%2B+18s%2B2%29=0 ALIGN=MIDDLE  ALT=\"%2840s%5E2%2B+18s%2B2%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "now solve quadratic equation to find value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s ALIGN=MIDDLE  ALT=\"s\"   DISABLED_style= \"max-width:90%; height:auto;\" > which will be represent as an <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > in following part:\r<BR>\n" );
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document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=quadratic_formula.solver>Quadratic Formula</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>Let's use the quadratic formula to solve for x:<BR><BR>\n" );
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document.write( "  <BR>\n" );
document.write( "  Starting with the general quadratic<BR>\n" );
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document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2%2Bbx%2Bc=0 ALIGN=MIDDLE  ALT=\"ax%5E2%2Bbx%2Bc=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "  the general solution using the quadratic equation is:<BR>\n" );
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document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29 ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "  So lets solve <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%2Ax%5E2%2B18%2Ax%2B2=0 ALIGN=MIDDLE  ALT=\"40%2Ax%5E2%2B18%2Ax%2B2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( notice <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=40 ALIGN=MIDDLE  ALT=\"a=40\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=18 ALIGN=MIDDLE  ALT=\"b=18\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=2 ALIGN=MIDDLE  ALT=\"c=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
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document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-18+%2B-+sqrt%28+%2818%29%5E2-4%2A40%2A2+%29%29%2F%282%2A40%29 ALIGN=MIDDLE  ALT=\"x+=+%28-18+%2B-+sqrt%28+%2818%29%5E2-4%2A40%2A2+%29%29%2F%282%2A40%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in a=40, b=18, and c=2<BR>\n" );
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document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-18+%2B-+sqrt%28+324-4%2A40%2A2+%29%29%2F%282%2A40%29 ALIGN=MIDDLE  ALT=\"x+=+%28-18+%2B-+sqrt%28+324-4%2A40%2A2+%29%29%2F%282%2A40%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Square 18 to get 324  <BR>\n" );
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document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-18+%2B-+sqrt%28+324%2B-320+%29%29%2F%282%2A40%29 ALIGN=MIDDLE  ALT=\"x+=+%28-18+%2B-+sqrt%28+324%2B-320+%29%29%2F%282%2A40%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4%2A2%2A40 ALIGN=MIDDLE  ALT=\"-4%2A2%2A40\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-320 ALIGN=MIDDLE  ALT=\"-320\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-18+%2B-+sqrt%28+4+%29%29%2F%282%2A40%29 ALIGN=MIDDLE  ALT=\"x+=+%28-18+%2B-+sqrt%28+4+%29%29%2F%282%2A40%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms in the radicand (everything under the square root)<BR>\n" );
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document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-18+%2B-+2%29%2F%282%2A40%29 ALIGN=MIDDLE  ALT=\"x+=+%28-18+%2B-+2%29%2F%282%2A40%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify the square root (note: If you need help with simplifying the square root, check out this <a  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Radicals/simplifying-square-roots.solver> solver</a>)<BR>\n" );
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document.write( "  <BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-18+%2B-+2%29%2F80 ALIGN=MIDDLE  ALT=\"x+=+%28-18+%2B-+2%29%2F80\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply 2 and 40 to get 80<BR>\n" );
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document.write( "  So now the expression breaks down into two parts<BR>\n" );
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document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-18+%2B+2%29%2F80 ALIGN=MIDDLE  ALT=\"x+=+%28-18+%2B+2%29%2F80\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-18+-+2%29%2F80 ALIGN=MIDDLE  ALT=\"x+=+%28-18+-+2%29%2F80\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "  <BR>\n" );
document.write( "  Lets look at the first part:<BR>\n" );
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document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-18+%2B+2%29%2F80 ALIGN=MIDDLE  ALT=\"x=%28-18+%2B+2%29%2F80\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-16%2F80 ALIGN=MIDDLE  ALT=\"x=-16%2F80\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add the terms in the numerator<BR>\n" );
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document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-1%2F5 ALIGN=MIDDLE  ALT=\"x=-1%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide<BR>\n" );
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document.write( "  So one answer is<BR>\n" );
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document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-1%2F5 ALIGN=MIDDLE  ALT=\"x=-1%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "  Now lets look at the second part:<BR>\n" );
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document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-18+-+2%29%2F80 ALIGN=MIDDLE  ALT=\"x=%28-18+-+2%29%2F80\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-20%2F80 ALIGN=MIDDLE  ALT=\"x=-20%2F80\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract the terms in the numerator<BR>\n" );
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document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-1%2F4 ALIGN=MIDDLE  ALT=\"x=-1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide<BR>\n" );
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document.write( "  So another answer is<BR>\n" );
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document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-1%2F4 ALIGN=MIDDLE  ALT=\"x=-1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ></TD></TR>\n" );
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