document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=242616>Question 242616</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i just need this factored 30000r(squared)-2225r-14=0.  just need it factored i can take it from there. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #177599 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=177599\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> standard form of quadratic equation is:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "ax^2 + bx + c = 0\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "your equation is:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "30000x^2 - 2225x - 14 = 0\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "I replaced r with x to standardize the formula.  it can also be graphed with x but not with r.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "a is the coefficient of the x^2 term.<BR>\n" );
document.write( "b is the coeeficient of the x term.<BR>\n" );
document.write( "c is a constant.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "in your equation:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "a = 30000<BR>\n" );
document.write( "b = -2225<BR>\n" );
document.write( "c = -14\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "discriminant of the quadratic formula in your equation is:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "b^2 - 4ac = 4950625 - (-1680000) = 6630625 = 2575^2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "this is a perfect square so your equation can be factored theoretically, but because the denominator of the quadratic formula is so large, the value of x will not be an integer, which means our factors will not be integers.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "I used the quadratic formula which is the fall back position in cases where the factors cannot be found any other way.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Unless you have to find the factors manually, don't spend a lot of time trying to find them manually.  If they can't be found easily, then use the quadratic formula.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the quadratic formula is:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x = ((-b) +/- (sqrt(b^2-4ac)))/(2a)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "where:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "a = 30000<BR>\n" );
document.write( "b = -2225<BR>\n" );
document.write( "c = -14\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x = (-(-2225) +/- sqrt((2225)^2-4*30000*(-14)))/60000\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x = -.0058333333\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "or:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x = .08\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "graph of your equation looks like this:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph+%28600%2C600%2C-2%2C2%2C-1000%2C6000%2C3000x%5E2+-+2225x+-+14%29 ALIGN=MIDDLE  ALT=\"graph+%28600%2C600%2C-2%2C2%2C-1000%2C6000%2C3000x%5E2+-+2225x+-+14%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " \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" );