document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1036813>Question 1036813</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm having issues with these types of problems sinking in. -5x+3=x^2+2x, -5x+3-x^2+2x=0 then we're left with -2x+3-x^2  we rearrange that to look like -x^2-2x+3 then...x^2+2x-3 (x+3)(x-1) I feel like I'm doing it wrong. Here's the problem.....\r<BR>\n" );
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document.write( "Find the values of x for which f(x) = g(x)<BR>\n" );
document.write( "a. f(x) = -5x + 3, g(x) = x^2 + 2x\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #651522 by </B><A HREF=/tutors/aboutme.mpl?userid=addingup><B>addingup(3677)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=addingup><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=addingup><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=651522\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x) = -5x+3, g(x) = x^2+2x Move all the terms to the left side:<BR>\n" );
document.write( "x^2+2x-5x+3 = 0 Combine like terms:<BR>\n" );
document.write( "x^2-3x+3 = 0<BR>\n" );
document.write( "Now we have a quadratic equation in the form ax^2+bx+c, so i'll solve it by using the quadratic formula:<BR>\n" );
document.write( "x = -(-3÷2)+-&#8730;(-3÷2)2-3 <BR>\n" );
document.write( "Run the calculations and you get:<BR>\n" );
document.write( "x = 1.5±0.866025403784i This calculation has no real solution. Usually you don't have to go beyond this point.<BR>\n" );
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