document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1041186>Question 1041186</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Convert this equation to standard form of a parabola: <BR>\n" );
document.write( "5x^2+30x+24y=51\r<BR>\n" );
document.write( "\n" );
document.write( "p.s dont linked your answers to youtube.com because my phone can't play videos on youtube. thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #656133 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=656133\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> As a general model, you can do this from the equation using all variables, and then use the resulting formula result.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "First, adjust the equation as given.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%5E2%2B30x-51=-24y ALIGN=MIDDLE  ALT=\"5x%5E2%2B30x-51=-24y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24y=-5x%5E2-30x%2B51 ALIGN=MIDDLE  ALT=\"24y=-5x%5E2-30x%2B51\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%285%2F24%29x%5E2-%2830%2F24%29x%2B51%2F24 ALIGN=MIDDLE  ALT=\"y=-%285%2F24%29x%5E2-%2830%2F24%29x%2B51%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%285%2F24%29x%5E2-%285%2F4%29x%2B17%2F8 ALIGN=MIDDLE  ALT=\"y=-%285%2F24%29x%5E2-%285%2F4%29x%2B17%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now is a good place to examine the rest all in symbols to get a formula.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28a=-5%2F24%2Cb=-5%2F4%2Cc=17%2F8%29 ALIGN=MIDDLE  ALT=\"system%28a=-5%2F24%2Cb=-5%2F4%2Cc=17%2F8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=ax%5E2%2Bbx%2Bc ALIGN=MIDDLE  ALT=\"y=ax%5E2%2Bbx%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Continue by using Completing The Square.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=a%28x%5E2%2B%28b%2Fa%29x%2Bc%2Fa%29 ALIGN=MIDDLE  ALT=\"y=a%28x%5E2%2B%28b%2Fa%29x%2Bc%2Fa%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=a%28x%5E2%2B%28b%2Fa%29x%2B%28b%2F%282a%29%29%5E2-%28b%2F%282a%29%29%5E2%2Bc%2Fa%29 ALIGN=MIDDLE  ALT=\"y=a%28x%5E2%2B%28b%2Fa%29x%2B%28b%2F%282a%29%29%5E2-%28b%2F%282a%29%29%5E2%2Bc%2Fa%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Watch and check through the next step carefully...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=a%28%28x%2B%28b%2F%282a%29%29%29%5E2%2Bc%2Fa-%28b%5E2%29%2F%284a%5E2%29%29 ALIGN=MIDDLE  ALT=\"y=a%28%28x%2B%28b%2F%282a%29%29%29%5E2%2Bc%2Fa-%28b%5E2%29%2F%284a%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now distribute the factor, \"a\"...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=a%28x%2B%28b%2F%282a%29%29%29%5E2%2Bc-%28b%5E2%29%2F%284a%29 ALIGN=MIDDLE  ALT=\"y=a%28x%2B%28b%2F%282a%29%29%29%5E2%2Bc-%28b%5E2%29%2F%284a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-----which may be useful enough this way or you could keep going like this....\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(...bad rendered lines now fixed...)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "*---<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%28x%2Bb%2F%282a%29%29%5E2%2Bc%28%284a%29%2F%284a%29%29-%28b%5E2%29%2F%284a%29 ALIGN=MIDDLE  ALT=\"a%28x%2Bb%2F%282a%29%29%5E2%2Bc%28%284a%29%2F%284a%29%29-%28b%5E2%29%2F%284a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%28x%2Bb%2F%282a%29%29%5E2%2B4ac%2F%284a%29-b%5E2%2F%284a%29 ALIGN=MIDDLE  ALT=\"a%28x%2Bb%2F%282a%29%29%5E2%2B4ac%2F%284a%29-b%5E2%2F%284a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=a%28x%2Bb%2F%282a%29%29%5E2%2B%284ac-b%5E2%29%2F%284a%29%29 ALIGN=MIDDLE  ALT=\"highlight%28y=a%28x%2Bb%2F%282a%29%29%5E2%2B%284ac-b%5E2%29%2F%284a%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Look back to the variable assignments made above for a, b, and c.  Make those substitutions now, and simplify, but KEEP your final result IN STANDARD FORM.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Note also, if you understand the process just shown, you could do the same thing starting from  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%285%2F24%29x%5E2-%285%2F4%29x%2B17%2F8 ALIGN=MIDDLE  ALT=\"y=-%285%2F24%29x%5E2-%285%2F4%29x%2B17%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >.   I would not want to using your example; I would prefer to find a formula and then plug the values I need..... and then simplify as a last set of steps. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );