document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=530528>Question 530528</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I reduce the fraction (4x+3)/(20x^2+23x+6) to simplest form, and include any restrictions on x? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #350116 by </B><A HREF=/tutors/aboutme.mpl?userid=algebrahouse.com><B>algebrahouse.com(1659)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=algebrahouse.com><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=algebrahouse.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=350116\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4x + 3<BR>\n" );
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document.write( "20x² + 23x + 6\r<BR>\n" );
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document.write( "4x + 3<BR>\n" );
document.write( "----------------- {factored bottom into two binomials}<BR>\n" );
document.write( "(4x + 3)(5x + 2)\r<BR>\n" );
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document.write( "1<BR>\n" );
document.write( "------ {cancelled 4x + 3 on top and bottom}<BR>\n" );
document.write( "5x + 2\r<BR>\n" );
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document.write( "Restrictions on x, would be those that would make the denominator equal to 0.\r<BR>\n" );
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document.write( "5x + 2 = 0  {set denominator equal to 0}<BR>\n" );
document.write( "5x = -2 {subtracted 2 from both sides}<BR>\n" );
document.write( "x = -2/5 {divided both sides by 5}<BR>\n" );
document.write( "Therefore x cannot be -2/5<BR>\n" );
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