document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=77385>Question 77385</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve each equation.\r<BR>\n" );
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document.write( "a+4/2 = a+4/a\r<BR>\n" );
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document.write( "and\r<BR>\n" );
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document.write( "4w-1/3w+6 - w-1/3 = w-1/w+2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #55572 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=55572\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve each equation.<BR>\n" );
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document.write( "I have to assume what you mean here, a few brackets would help a lot.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28a%2B4%29%29%2F2 ALIGN=MIDDLE  ALT=\"%28%28a%2B4%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28a%2B4%29%29%2Fa ALIGN=MIDDLE  ALT=\"%28%28a%2B4%29%29%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Cross multiply and you have:<BR>\n" );
document.write( "a(a+4) = 2(a+4)<BR>\n" );
document.write( "a^2 + 4a = 2a + 8<BR>\n" );
document.write( "a^2 + 4a - 2a - 8 = 0<BR>\n" );
document.write( "a^2 + 2a - 8 = 0; a quadratic equation<BR>\n" );
document.write( "Factors to:<BR>\n" );
document.write( "(a+4)(a-2) = 0<BR>\n" );
document.write( "a = -4<BR>\n" );
document.write( "and<BR>\n" );
document.write( "a = +2<BR>\n" );
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document.write( "Check both solutions in the original equation<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%284w-1%29%29%2F%28%283w%2B6%29%29 ALIGN=MIDDLE  ALT=\"%28%284w-1%29%29%2F%28%283w%2B6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28w-1%29%29%2F3 ALIGN=MIDDLE  ALT=\"%28%28w-1%29%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28w-1%29%29%2F%28%28w%2B2%29%29 ALIGN=MIDDLE  ALT=\"%28%28w-1%29%29%2F%28%28w%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Factor out 3 in the 1st denominator:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%284w-1%29%29%2F%283%28w%2B2%29%29 ALIGN=MIDDLE  ALT=\"%28%284w-1%29%29%2F%283%28w%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28w-1%29%29%2F3 ALIGN=MIDDLE  ALT=\"%28%28w-1%29%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28w-1%29%29%2F%28%28w%2B2%29%29 ALIGN=MIDDLE  ALT=\"%28%28w-1%29%29%2F%28%28w%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Multiply thru by the common denominator, 3(w+2), you then have<BR>\n" );
document.write( " (4w-1) - ((w-1)(w+2)) = 3(w-1)<BR>\n" );
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document.write( "FOIL (w-1)(w+2) and what's inside the brackets:<BR>\n" );
document.write( "(4w-1) - (w^2 + w - 2) = 3w - 3<BR>\n" );
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document.write( "Remove the brackets:<BR>\n" );
document.write( "4w - 1 - w^2 - w + 2 = 3w - 3<BR>\n" );
document.write( "-w^2 + 3w + 1 = 3w - 3<BR>\n" );
document.write( "-w^2 + 3w - 3w + 1 + 3 = 0<BR>\n" );
document.write( "-w^2 + 4 = 0<BR>\n" );
document.write( "w^2 - 4 = 0; Multiplied equation by -1<BR>\n" );
document.write( "w^2 = +4<BR>\n" );
document.write( "w = +2<BR>\n" );
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document.write( "Check the solution, substitute 2 for w in the original equation </SPAN>\n" );
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