document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=425969>Question 425969</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi. I am having a difficult time trying to figure out of to factor the trinomial. If you could help, that would be greatly appreciated. \r<BR>\n" );
document.write( "\n" );
document.write( "2a^2 + 30a + 100. Thanks so much.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #296431 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=296431\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2a^2 + 30a + 100\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "set it equal to 0\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "2a^2 + 30a + 100 = 0\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "divide both sides of the equation by 2 to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "a^2 + 15a + 50 = 0\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "50 can be factored in several ways.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1 * 50<BR>\n" );
document.write( "2 * 25<BR>\n" );
document.write( "5 * 10\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "looking at each of these and adding the 2 factors together you get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1 + 50 = 51<BR>\n" );
document.write( "2 + 26 = 26<BR>\n" );
document.write( "5 + 10 = 15\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "factors of 5 and 10 look interesting because 5*10 = 50 and 5+10 = 15.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "your factors could very well be:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(a + 5) * (a + 10) = 0\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "multiply these 2 factors together to get a^2 + 10a + 5a + 50 = 0\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "combine like terms to get a^2 + 15a + 50 = 0\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "these are your factors.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "to get back to the original equation, multiply both sides of this equation by 2 to get 2a^2 + 30a + 100.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the basic procedure in factoring a quadratic equation is to get the equation into standard form and then to reduce it to the lowest possible common factors.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "your expression was 2a^2 + 30a + 100.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "place it into standard form by setting it equal to 0 to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "2a^2 + 30a + 100 = 0\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "factor out to 2 to reduce it as much as possible to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "a^2 + 15a + 50 = 0\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "etc. as we did above.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "your factors came out to be (x+5) * (x+10) = 0\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "this equation is true if (x+5) = 0 or if (x+10) = 0.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(x+5) = 0 if x = -5<BR>\n" );
document.write( "(x+10) = 0 if x = -10\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "your answer is:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x = -5 or x = -10\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );