document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=242579>Question 242579</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the following rational expression:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F%28x%2B2%29%2B+5%2F%28x%2B4%29=2 ALIGN=MIDDLE  ALT=\"3%2F%28x%2B2%29%2B+5%2F%28x%2B4%29=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I have been trying and have finished this question. I would just like to see if I have done it correstly. 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 #177968 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=177968\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the following rational expression:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F%28x%2B2%29%2B+5%2F%28x%2B4%29=2 ALIGN=MIDDLE  ALT=\"3%2F%28x%2B2%29%2B+5%2F%28x%2B4%29=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I have been trying and have finished this question. I would just like to see if I have done it correstly. Thank you.\r<BR>\n" );
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document.write( "It would've helped greatly if you'd included your answer. This way, a check could've been made to see if your answer is correct. better yet, you could've done the check yourself, and would've determined if your answer is correct.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F%28x%2B2%29%2B+5%2F%28x%2B4%29=2 ALIGN=MIDDLE  ALT=\"3%2F%28x%2B2%29%2B+5%2F%28x%2B4%29=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "3(x + 4) + 5(x + 2) = 2(x + 2)(x + 4)----- Multiplying each side of the equation by its LCD, (x + 2)(x + 4) to clear the fractions\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+%2B+12+%2B+5x+%2B+10+=+2%28x%5E2+%2B+6x+%2B+8%29 ALIGN=MIDDLE  ALT=\"3x+%2B+12+%2B+5x+%2B+10+=+2%28x%5E2+%2B+6x+%2B+8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x+%2B+22+=+2x%5E2+%2B+12x+%2B+16 ALIGN=MIDDLE  ALT=\"8x+%2B+22+=+2x%5E2+%2B+12x+%2B+16\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+2x%5E2+%2B+4x+-+6 ALIGN=MIDDLE  ALT=\"0+=+2x%5E2+%2B+4x+-+6\"   DISABLED_style= \"max-width:90%; height:auto;\" > ------ Subtracting 8x and 22 from both sides of equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2+%2B+4x+-+6+=+0 ALIGN=MIDDLE  ALT=\"2x%5E2+%2B+4x+-+6+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > ------ Rearranging equation \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28x%5E2+%2B+2x+-+3%29+=+2%280%29 ALIGN=MIDDLE  ALT=\"2%28x%5E2+%2B+2x+-+3%29+=+2%280%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ------ Factoring out GCF\r<BR>\n" );
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document.write( "(x + 3)(x - 1) = 0 ------ Factoring quadratic, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+2x+-+3+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+2x+-+3+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "x  =  - 3, or  1\r<BR>\n" );
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document.write( "Since - 2 or - 4 would make the fractions in the equation undefined, then x CANNOT equal any of these 2 numbers. Since x DOES NOT equal - 2 or - 4, then x being equal to - 3 or 1 are the correct values. You can now do the check to make sure that they do work.  </SPAN>\n" );
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