document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=156375>Question 156375</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve the equation for x <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+p=x-y%2Fx%2By ALIGN=MIDDLE  ALT=\"+p=x-y%2Fx%2By\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #115171 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=115171\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Are you sure that the equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+p=x-y%2Fx%2By ALIGN=MIDDLE  ALT=\"+p=x-y%2Fx%2By\"   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=+p=x-y%2Fx%2By ALIGN=MIDDLE  ALT=\"+p=x-y%2Fx%2By\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+px=x%5E2-y%2Bxy ALIGN=MIDDLE  ALT=\"+px=x%5E2-y%2Bxy\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply <b>EVERY</b> term by the LCD \"x\" to clear out the fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0=x%5E2-y%2Bxy-px ALIGN=MIDDLE  ALT=\"+0=x%5E2-y%2Bxy-px\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=px ALIGN=MIDDLE  ALT=\"px\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0=x%5E2%2Bxy-px-y ALIGN=MIDDLE  ALT=\"+0=x%5E2%2Bxy-px-y\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0=x%5E2%2B%28y-p%29x-y ALIGN=MIDDLE  ALT=\"+0=x%5E2%2B%28y-p%29x-y\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4ac+%29%29%2F%282a%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4ac+%29%29%2F%282a%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the quadratic formula\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-%28y-p%29+%2B-+sqrt%28+%28y-p%29%5E2-4%281%29%28-y%29+%29%29%2F%282%281%29%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-%28y-p%29+%2B-+sqrt%28+%28y-p%29%5E2-4%281%29%28-y%29+%29%29%2F%282%281%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=1 ALIGN=MIDDLE  ALT=\"a=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=y-p ALIGN=MIDDLE  ALT=\"b=y-p\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=-y ALIGN=MIDDLE  ALT=\"c=-y\"   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=x+=+%28-%28y-p%29+%2B-+sqrt%28+y%5E2-2py%2Bp%5E2-4%281%29%28-y%29+%29%29%2F%282%281%29%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-%28y-p%29+%2B-+sqrt%28+y%5E2-2py%2Bp%5E2-4%281%29%28-y%29+%29%29%2F%282%281%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > FOIL\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-%28y-p%29+%2B-+sqrt%28+y%5E2-2py%2Bp%5E2%2B4y+%29%29%2F%282%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-%28y-p%29+%2B-+sqrt%28+y%5E2-2py%2Bp%5E2%2B4y+%29%29%2F%282%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-y%2Bp+%2B-+sqrt%28+y%5E2-2py%2Bp%5E2%2B4y+%29%29%2F%282%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-y%2Bp+%2B-+sqrt%28+y%5E2-2py%2Bp%5E2%2B4y+%29%29%2F%282%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-y%2Bp+%2B+sqrt%28+y%5E2-2py%2Bp%5E2%2B4y+%29%29%2F%282%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-y%2Bp+%2B+sqrt%28+y%5E2-2py%2Bp%5E2%2B4y+%29%29%2F%282%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-y%2Bp+-+sqrt%28+y%5E2-2py%2Bp%5E2%2B4y+%29%29%2F%282%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-y%2Bp+-+sqrt%28+y%5E2-2py%2Bp%5E2%2B4y+%29%29%2F%282%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the \"plus/minus\" to get two equations.\r<BR>\n" );
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document.write( "Since we cannot condense and simplify the radicand, we cannot go any further. \r<BR>\n" );
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document.write( "So the solutions are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-y%2Bp+%2B+sqrt%28+y%5E2-2py%2Bp%5E2%2B4y+%29%29%2F%282%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-y%2Bp+%2B+sqrt%28+y%5E2-2py%2Bp%5E2%2B4y+%29%29%2F%282%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-y%2Bp+-+sqrt%28+y%5E2-2py%2Bp%5E2%2B4y+%29%29%2F%282%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-y%2Bp+-+sqrt%28+y%5E2-2py%2Bp%5E2%2B4y+%29%29%2F%282%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Or...\r<BR>\n" );
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document.write( "Is the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+p=%28x-y%29%2F%28x%2By%29 ALIGN=MIDDLE  ALT=\"+p=%28x-y%29%2F%28x%2By%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=+p=%28x-y%29%2F%28x%2By%29 ALIGN=MIDDLE  ALT=\"+p=%28x-y%29%2F%28x%2By%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+p%28x%2By%29=x-y ALIGN=MIDDLE  ALT=\"+p%28x%2By%29=x-y\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By ALIGN=MIDDLE  ALT=\"x%2By\"   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=+px%2Bpy=x-y ALIGN=MIDDLE  ALT=\"+px%2Bpy=x-y\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+px%2Bpy-x=-y ALIGN=MIDDLE  ALT=\"+px%2Bpy-x=-y\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+px-x=-y-py ALIGN=MIDDLE  ALT=\"+px-x=-y-py\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=py ALIGN=MIDDLE  ALT=\"py\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%28p-1%29=-y-py ALIGN=MIDDLE  ALT=\"+x%28p-1%29=-y-py\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out the GCF \"x\"\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x=%28-y-py%29%2F%28p-1%29 ALIGN=MIDDLE  ALT=\"+x=%28-y-py%29%2F%28p-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p-1 ALIGN=MIDDLE  ALT=\"p-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > to isolate \"x\"\r<BR>\n" );
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document.write( "So the solution is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x=%28-y-py%29%2F%28p-1%29 ALIGN=MIDDLE  ALT=\"+x=%28-y-py%29%2F%28p-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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