document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=49749>Question 49749</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm stuck. I am supposed to solve for t and the original equation is:<BR>\n" );
document.write( "x=vt-(1/2)at^2<BR>\n" );
document.write( "Here is what I have done so far.<BR>\n" );
document.write( "2x=2vt-at^2<BR>\n" );
document.write( "2x=t(2v-at)<BR>\n" );
document.write( "t=2x/(2v-at) <BR>\n" );
document.write( "But since I am supposed to solve for t how do I get the other t out or am I done? <BR>\n" );
document.write( "Thanks!!<BR>\n" );
document.write( "Andrea </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #33017 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=33017\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Well, your first few steps are fine. Remember, when you solve an equation for a specified variable, in this case it's t, you have to write the equation so that the variable t in on one side of the equals sign and everything else is on the other side.  If you have a t on both sides of the equation, the job won't be finished.  Let's pick it up where you got it right so far:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+=+2vt-at%5E2 ALIGN=MIDDLE  ALT=\"2x+=+2vt-at%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now this begins to look much like a quadratic equation in t, so let's put it into the standard form for quadratic equations: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=at%5E2%2Bbt%2Bc+=+0 ALIGN=MIDDLE  ALT=\"at%5E2%2Bbt%2Bc+=+0\"   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=at%5E2-2vt%2B2x+=+0 ALIGN=MIDDLE  ALT=\"at%5E2-2vt%2B2x+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > This is the same equation you had only it's now in the standard form. Now you can solve this quadratic equation using the quadratic formula: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a ALIGN=MIDDLE  ALT=\"t+=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a\"   DISABLED_style= \"max-width:90%; height:auto;\" > In your equation: a = a, b = -2v, and c = 2x\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%28-%28-2v%29%2B-sqrt%28%28-2v%29%5E2+-+4%28a%29%282x%29%29%29%2F2%28a%29 ALIGN=MIDDLE  ALT=\"t+=+%28-%28-2v%29%2B-sqrt%28%28-2v%29%5E2+-+4%28a%29%282x%29%29%29%2F2%28a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify this.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%282v%2B-sqrt%284v%5E2-8ax%29%29%2F2a ALIGN=MIDDLE  ALT=\"t+=+%282v%2B-sqrt%284v%5E2-8ax%29%29%2F2a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%282v%2B-sqrt%284%28v%5E2-2ax%29%29%29%2F2a ALIGN=MIDDLE  ALT=\"t+=+%282v%2B-sqrt%284%28v%5E2-2ax%29%29%29%2F2a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%282v%2B-2sqrt%28v%5E2-2ax%29%29%2F2a ALIGN=MIDDLE  ALT=\"t+=+%282v%2B-2sqrt%28v%5E2-2ax%29%29%2F2a\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "As with any quadratic equation, there are two solutions:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%28v%2Fa%29%2B%28sqrt%28v%5E2-2ax%29%29%2Fa ALIGN=MIDDLE  ALT=\"t+=+%28v%2Fa%29%2B%28sqrt%28v%5E2-2ax%29%29%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%28v%2Fa%29-%28sqrt%28v%5E2-2ax%29%29%2Fa ALIGN=MIDDLE  ALT=\"t+=+%28v%2Fa%29-%28sqrt%28v%5E2-2ax%29%29%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );