document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1782>Question 1782</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a Quadratic Equation of (z+5)(z+1)=10z how to you work it. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #606 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=606\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> to solve any quadratic, you are trying to find where it equals zero, that is where it crosses the x-axis of a graph. Those points that it does cross the x-axis at are called the root(s) of the equation.\r<BR>\n" );
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document.write( "So, first thing is to get everything on one side, so that it equals zero...then we try to find the answers.\r<BR>\n" );
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document.write( "First, multiply out the brackets and collect terms together, all on one side, like so...\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%5E2+%2B+z+%2B+5z+%2B+5+=+10z ALIGN=MIDDLE  ALT=\"z%5E2+%2B+z+%2B+5z+%2B+5+=+10z\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%5E2+%2B+6z+%2B+5+=+10z ALIGN=MIDDLE  ALT=\"z%5E2+%2B+6z+%2B+5+=+10z\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%5E2+-+4z+%2B+5+=+0 ALIGN=MIDDLE  ALT=\"z%5E2+-+4z+%2B+5+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now we need to solve this. The 2 main methods are to factorise (meaning find 2 things multiplied together) or use the quadratic formula.\r<BR>\n" );
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document.write( "Factorise should always be your first route...\r<BR>\n" );
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document.write( "However, I have looked at this, and there are no solutions (at a low level of algebra at least), so have you written the question correctly?\r<BR>\n" );
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document.write( "If you have, then the answer is either: no solution or you use \"Complex Numbers\", which is an advanced maths comcept.\r<BR>\n" );
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document.write( "Hope this helps\r<BR>\n" );
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document.write( "cheers<BR>\n" );
document.write( "Jon. </SPAN>\n" );
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