document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1037573>Question 1037573</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the equation for the indicated variable. <BR>\n" );
document.write( "1/r+6/(1-r)=12/r^2<BR>\n" );
document.write( "Please explain step by step if possible! 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 #652177 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=652177\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1/r+ 6/(1-r) = 12/r^2<BR>\n" );
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document.write( "use r(1-r)r^2 as the common denominator and multiply both sides of = by it<BR>\n" );
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document.write( "r^2(1-r) + 6rr^2 = 12r(1-r)<BR>\n" );
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document.write( "r^2-r^3 + 6r^3 = 12r - 12r^2<BR>\n" );
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document.write( "combine like terms<BR>\n" );
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document.write( "5r^3 + 13r^2 -12r = 0<BR>\n" );
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document.write( "divide both sides of = by r<BR>\n" );
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document.write( "5r^2 + 13r - 12 = 0<BR>\n" );
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document.write( "use quadratic equation to solve<BR>\n" );
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document.write( "r = ( -13 + square root( 13^2 - 4(5)(-12) ) ) / 2(5) = 0.7224<BR>\n" );
document.write( "r = ( -13 - square root( 13^2 - 4(5)(-12) ) ) / 2(5) = -3.3224<BR>\n" );
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document.write( "check answer<BR>\n" );
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document.write( "original equation is<BR>\n" );
document.write( "1/r+ 6/(1-r) = 12/r^2<BR>\n" );
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document.write( "substitute 0.7224 for r<BR>\n" );
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document.write( "(1/0.7224) + 6 / (1 - 0.7224) = 12 / (0.7224)^2<BR>\n" );
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document.write( "1.3843 + 21.6138 = 22.9946<BR>\n" );
document.write( "22.9981 approx equal to 22.9946<BR>\n" );
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document.write( "answer checks<BR>\n" );
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document.write( "I will leave it to you to check the other answer for r<BR>\n" );
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