document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1125476>Question 1125476</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the equation:<BR>\n" );
document.write( "18(&#119909;&#8722;2) = 1 + ((20)/(&#119909;+2))\r<BR>\n" );
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document.write( "Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #741808 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=741808\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> your equation is 18 * (x-2) = 1 + (20 / (x + 2))\r<BR>\n" );
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document.write( "multiply both sides of this equation by (x + 2) to get:\r<BR>\n" );
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document.write( "18 * (x-2) * (x+2) = (x + 2) + 20\r<BR>\n" );
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document.write( "(x-2) * (x+2) is equal to (x^2 - 4)\r<BR>\n" );
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document.write( "equation becomes:\r<BR>\n" );
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document.write( "18 * (x^2 - 4) = (x + 2) + 20\r<BR>\n" );
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document.write( "simplify to get 18 * x^2 - 72 = x + 22\r<BR>\n" );
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document.write( "subtract x + 22 from both sides of the equation to get:\r<BR>\n" );
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document.write( "x^2 - 72 - x - 22 = 0\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "x^2 - x - 94 = 0\r<BR>\n" );
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document.write( "factor this quadratic equation to get:\r<BR>\n" );
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document.write( "x = 2.313164797 or x = -2.257609241\r<BR>\n" );
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document.write( "that's your solution.\r<BR>\n" );
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document.write( "you can show that this is true graphically as shown below:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2018/100704.jpg\" alt=\"$$$\" >\r<BR>\n" );
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document.write( "the red line is 18 * (x - 2).\r<BR>\n" );
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document.write( "the blue line is 1 + (20 / (x + 2)).\r<BR>\n" );
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document.write( "the solution is the intersection of those two lines.\r<BR>\n" );
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document.write( "x = 2.313164797 or x = -2.257609241 rounds to x = 2.313 or x = -2.258 as shown on the graph.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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