document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=389452>Question 389452</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 5/3x + 2/x^2 = 7/9\r<BR>\n" );
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document.write( "find and name the domain then solve </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #276055 by </B><A HREF=/tutors/aboutme.mpl?userid=haileytucki><B>haileytucki(390)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=haileytucki><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=haileytucki><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=276055\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (5)/(3x)+(2)/(x^(2))=(7)/(9)\r<BR>\n" );
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document.write( "Find the LCD (least common denominator) of (5)/(3x)+(2)/(x^(2))+(7)/(9).<BR>\n" );
document.write( "Least common denominator: 9x^(2)\r<BR>\n" );
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document.write( "Multiply each term in the equation by 9x^(2) in order to remove all the denominators from the equation.<BR>\n" );
document.write( "(5)/(3x)*9x^(2)+(2)/(x^(2))*9x^(2)=(7)/(9)*9x^(2)\r<BR>\n" );
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document.write( "Simplify the left-hand side of the equation by canceling the common factors.<BR>\n" );
document.write( "15x+18=(7)/(9)*9x^(2)\r<BR>\n" );
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document.write( "Simplify the right-hand side of the equation by simplifying each term.<BR>\n" );
document.write( "15x+18=7x^(2)\r<BR>\n" );
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document.write( "Since 7x^(2) contains the variable to solve for, move it to the left-hand side of the equation by subtracting 7x^(2) from both sides.<BR>\n" );
document.write( "15x+18-7x^(2)=0\r<BR>\n" );
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document.write( "Move all terms not containing x to the right-hand side of the equation.<BR>\n" );
document.write( "-7x^(2)+15x+18=0\r<BR>\n" );
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document.write( "Multiply each term in the equation by -1.<BR>\n" );
document.write( "7x^(2)-15x-18=0\r<BR>\n" );
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document.write( "In this problem (6)/(7)*-3=-18 and (6)/(7)-3=-15, so insert (6)/(7) as the right hand term of one factor and -3 as the right-hand term of the other factor.<BR>\n" );
document.write( "(x+(6)/(7))(x-3)=0\r<BR>\n" );
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document.write( "Remove the fraction by multiplying the first term of the factor by the denominator of the second term.<BR>\n" );
document.write( "(7x+6)(x-3)=0\r<BR>\n" );
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document.write( "Set each of the factors of the left-hand side of the equation equal to 0.<BR>\n" );
document.write( "7x+6=0_x-3=0\r<BR>\n" );
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document.write( "Since 6 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 6 from both sides.<BR>\n" );
document.write( "7x=-6_x-3=0\r<BR>\n" );
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document.write( "Divide each term in the equation by 7.<BR>\n" );
document.write( "(7x)/(7)=-(6)/(7)_x-3=0\r<BR>\n" );
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document.write( "Simplify the left-hand side of the equation by canceling the common factors.<BR>\n" );
document.write( "x=-(6)/(7)_x-3=0\r<BR>\n" );
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document.write( "Set each of the factors of the left-hand side of the equation equal to 0.<BR>\n" );
document.write( "x=-(6)/(7)_x-3=0\r<BR>\n" );
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document.write( "Since -3 does not contain the variable to solve for, move it to the right-hand side of the equation by adding 3 to both sides.<BR>\n" );
document.write( "x=-(6)/(7)_x=3\r<BR>\n" );
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document.write( "The complete solution is the set of the individual solutions.<BR>\n" );
document.write( "x=-(6)/(7),3 </SPAN>\n" );
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