document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=67900>Question 67900</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i need help solving for a<BR>\n" );
document.write( "a^2+4a=45 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #48278 by </B><A HREF=/tutors/aboutme.mpl?userid=Zoop><B>Zoop(21)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Zoop><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=48278\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2%2B4a=45 ALIGN=MIDDLE  ALT=\"a%5E2%2B4a=45\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Steps:<BR>\n" );
document.write( "1. Make it a trinomial and move the 45 over.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2%2B4a-45 ALIGN=MIDDLE  ALT=\"a%5E2%2B4a-45\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2. Factor it.<BR>\n" );
document.write( "To factor this, find two factors of 45 that add to get 4a.<BR>\n" );
document.write( "Those factors would be 9 and -5.<BR>\n" );
document.write( "So, factored, it would be:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2B9%29%28a-5%29 ALIGN=MIDDLE  ALT=\"a%2B9%29%28a-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "3. Find the solutions.<BR>\n" );
document.write( "When finding the solution of an equation like this, perform the same steps you use to find restrictions. <BR>\n" );
document.write( "E.g. set each monomial to equal 0.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2B9=0 ALIGN=MIDDLE  ALT=\"a%2B9=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > AND <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a-5=0 ALIGN=MIDDLE  ALT=\"a-5=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solve each mini-equation.<BR>\n" );
document.write( "The solutions are -9 and +5.\r<BR>\n" );
document.write( "\n" );
document.write( "Try it out:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-9%5E2%2B4%28-9%29-45=0%3F ALIGN=MIDDLE  ALT=\"-9%5E2%2B4%28-9%29-45=0%3F\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Yup.\r<BR>\n" );
document.write( "\n" );
document.write( "How about:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E2%2B4%285%29-45=0 ALIGN=MIDDLE  ALT=\"5%5E2%2B4%285%29-45=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Yup.\r<BR>\n" );
document.write( "\n" );
document.write( "So your solution set is:<BR>\n" );
document.write( "{-9,5}. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );