document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=268742>Question 268742</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you solve 5x^2-9x+1=x^2-14x+7? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #196923 by </B><A HREF=/tutors/aboutme.mpl?userid=persian52><B>persian52(161)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=persian52><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=persian52><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=196923\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 5x^(2)-9x+1=x^(2)-14x+7\r<BR>\n" );
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document.write( "Move all terms not containing x to the right-hand side of the equation.<BR>\n" );
document.write( "5x^(2)-9x+1-x^(2)+14x=7\r<BR>\n" );
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document.write( "Since 5x^(2) and -x^(2) are like terms, add -x^(2) to 5x^(2) to get 4x^(2).<BR>\n" );
document.write( "4x^(2)-9x+1+14x=7\r<BR>\n" );
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document.write( "Since -9x and 14x are like terms, subtract 14x from -9x to get 5x.<BR>\n" );
document.write( "4x^(2)+5x+1=7\r<BR>\n" );
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document.write( "To set the left-hand side of the equation equal to 0, move all the expressions to the left-hand side.<BR>\n" );
document.write( "4x^(2)+5x-6=0\r<BR>\n" );
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document.write( "Find the factors such that the product of the factors is the trinomial 4x^(2)+5x-6.  This can be done by trial and error and checked using the FOIL method of simplifying polynomials.<BR>\n" );
document.write( "(x+2)(4x-3)=0\r<BR>\n" );
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document.write( "Set each of the factors of the left-hand side of the equation equal to 0.<BR>\n" );
document.write( "x+2=0_4x-3=0\r<BR>\n" );
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document.write( "Since 2 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 2 from both sides.<BR>\n" );
document.write( "x=-2_4x-3=0\r<BR>\n" );
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document.write( "Set each of the factors of the left-hand side of the equation equal to 0.<BR>\n" );
document.write( "x=-2_4x-3=0\r<BR>\n" );
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document.write( "Since -3 does not contain the variable to solve for, move it to the right-hand side of the equation by adding 3 to both sides.<BR>\n" );
document.write( "x=-2_4x=3\r<BR>\n" );
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document.write( "Divide each term in the equation by 4.<BR>\n" );
document.write( "x=-2_(4x)/(4)=(3)/(4)\r<BR>\n" );
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document.write( "Simplify the left-hand side of the equation by canceling the common terms.<BR>\n" );
document.write( "x=-2_x=(3)/(4)\r<BR>\n" );
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document.write( "The complete solution is the set of the individual solutions.<BR>\n" );
document.write( "x=-2,(3)/(4) </SPAN>\n" );
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