document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=177874>Question 177874</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help.   Solve for x, and simplify answers.    4x(x-2)-5x(x-1)=2.<BR>\n" );
document.write( "I have the problem simplified to -x^2-8x+3=0  (I think this is correct) then I think I use the quadratic equation and I got: 8+square root of 76 divided by -2 and 8-square root of 76 divided by -2. <BR>\n" );
document.write( "Do I divide by two? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #132859 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=132859\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font size=\"+2\" face=\"Times New Roman\">\r<BR>\n" );
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document.write( "Somewhere in the process of applying the distributive property and collecting like terms you went astray.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 4x(x-2)-5x(x-1)=2\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 4x^2 - 8x - 5x^2 + 5x = 2\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large -x^2 - 3x - 2 = 0\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x^2 + 3x + 2 = 0\"> (after multiplying by -1)\r<BR>\n" );
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document.write( "Which factors quite tidily:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large (x + 1)(x + 2) = 0\">\r<BR>\n" );
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document.write( "Hence, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x = -1 \text {   or   } \math x = -2\">\r<BR>\n" );
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document.write( "And the following graph of the original function verifies the calculations.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28%0D%0A600%2C+600%2C+-5%2C+5%2C+-5%2C+5%2C%0D%0Agrid%281%29%2C%0D%0Agraph%28%0D%0A600%2C+600%2C+-5%2C+5%2C+-5%2C+5%2C%0D%0Ay=4x%5E2+-+8x+-+5x%5E2+%2B+5x+-+2%0D%0A%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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