document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=76303>Question 76303</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me with my homework problem.  Solve each equation using the zero-factor property.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "25y^2+4=20y </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #55124 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=55124\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First get all terms to one side\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25y%5E2-20y%2B4=0 ALIGN=MIDDLE  ALT=\"25y%5E2-20y%2B4=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Now factor the left side\r<BR>\n" );
document.write( "\n" );
document.write( "ERROR Algebra::Solver::Engine::invoke_solver_noengine: solver not defined for name 'quadratic_factoring'.\n" );
document.write( "<TABLE  BORDER=1>\n" );
document.write( "\n" );
document.write( " <TR><TD >Error occurred executing solver 'quadratic_factoring' .</TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT></TD></TR>\n" );
document.write( "</TABLE><BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "If we replace the x's with y's, the left side then becomes\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285y-2%29%285y-2%29=0 ALIGN=MIDDLE  ALT=\"%285y-2%29%285y-2%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since the two factors are the same, we can write them as this<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285y-2%29%5E2=0 ALIGN=MIDDLE  ALT=\"%285y-2%29%5E2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%285x-2%29%5E2=sqrt%280%29 ALIGN=MIDDLE  ALT=\"sqrt%285x-2%29%5E2=sqrt%280%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Take the square root of both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y-2=0 ALIGN=MIDDLE  ALT=\"5y-2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y=2 ALIGN=MIDDLE  ALT=\"5y=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 2 to both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2%2F5 ALIGN=MIDDLE  ALT=\"y=2%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 5\r<BR>\n" );
document.write( "\n" );
document.write( "So our answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2%2F5 ALIGN=MIDDLE  ALT=\"y=2%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<p><BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25y%5E2-20y%2B4=0 ALIGN=MIDDLE  ALT=\"25y%5E2-20y%2B4=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25%282%2F5%29%5E2-20%282%2F5%29%2B4=0 ALIGN=MIDDLE  ALT=\"25%282%2F5%29%5E2-20%282%2F5%29%2B4=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2%2F5 ALIGN=MIDDLE  ALT=\"y=2%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25%284%2F25%29-40%2F5%2B4=0 ALIGN=MIDDLE  ALT=\"25%284%2F25%29-40%2F5%2B4=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%2F25-40%2F5%2B4=0 ALIGN=MIDDLE  ALT=\"100%2F25-40%2F5%2B4=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4-8%2B4=0 ALIGN=MIDDLE  ALT=\"4-8%2B4=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8-8=0 ALIGN=MIDDLE  ALT=\"8-8=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=0 ALIGN=MIDDLE  ALT=\"0=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > works\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );