document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=257202>Question 257202</A>: <I><SPAN STYLE=\"word-break: break-all;\"> determine the solution of the equation 7-6x-x^2=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #189119 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=189119\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 7-6x-x^2=0\r<BR>\n" );
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document.write( "reorder the terms so you get:\r<BR>\n" );
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document.write( "-x^2 - 6x + 7 = 0\r<BR>\n" );
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document.write( "multiply both sides of the equation by -1 to get:\r<BR>\n" );
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document.write( "x^2 + 6x - 7 = 0\r<BR>\n" );
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document.write( "factor to get:\r<BR>\n" );
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document.write( "(x+7) * (x-1) = 0\r<BR>\n" );
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document.write( "you get:\r<BR>\n" );
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document.write( "x = -7 or x = 1\r<BR>\n" );
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document.write( "plug into your original equation to see if these values are good.\r<BR>\n" );
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document.write( "your original equation is:\r<BR>\n" );
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document.write( "7-6x-x^2=0\r<BR>\n" );
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document.write( "when x = -7 this becomes 7 - 6*(-7) - (-7)^2 = 7 + 42 - 49 = 49 - 49 = 0.\r<BR>\n" );
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document.write( "when x = 1, this becomes 7 - 6*1 - 1^2 = 7 - 6 - 1 = 7 - 7 = 0.\r<BR>\n" );
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document.write( "both values of x are good.\r<BR>\n" );
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document.write( "your answer is:\r<BR>\n" );
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document.write( "the solution to the equation of 7 - 6x - x^2 = 0 is x = -7 or x = 1.   both solutions are valid.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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