document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=59424>Question 59424</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0918091705/algebrahomeworkh>college algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> 1. what is the answer to msquare+4m-21\r<BR>\n" );
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document.write( "2. what is the answer to 2xcube+5xsquare - 12x =0\r<BR>\n" );
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document.write( "3. 2ysquare = -3y + 35\r<BR>\n" );
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document.write( "4. (4x - 3)(4x + 3) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #40721 by </B><A HREF=/tutors/aboutme.mpl?userid=uma><B>uma(370)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=uma><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=40721\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1>  m^2 + 4m - 21 = (m+7) (m-3)\r<BR>\n" );
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document.write( "2> 2x^3 +5x^2 - 12x = 0<BR>\n" );
document.write( "Removing x as the common factor,  the above equation becomes,<BR>\n" );
document.write( "x(2x^2 + 5x - 12) = 0<BR>\n" );
document.write( "==> x [ 2x^2 +8x - 3x - 12 ] = 0 [splitting the middle term]<BR>\n" );
document.write( "==> x[ 2x(x+4) -3(x+4) ] = 0 [taking out the common factor]<BR>\n" );
document.write( "==> x(x+4) (2x-3) = 0<BR>\n" );
document.write( "==> either x = 0   or x+4 = 0  or 2x - 3 = 0\r<BR>\n" );
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document.write( "==> x = 0  or x = -4  or x = 3/2         [2x-3 = 0==>2x = 3 or x = 3/2]\r<BR>\n" );
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document.write( "3>  2y^2 = -3y + 35\r<BR>\n" );
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document.write( "Adding 3y-35 to both the sides,\r<BR>\n" );
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document.write( "   2y^2 + 3y - 35 = 0<BR>\n" );
document.write( "==> 2y^2 + 10y - 7y - 35 = 0  [splitting the middle term]<BR>\n" );
document.write( "==> 2y(y + 5) - 7(y + 5) = 0<BR>\n" );
document.write( "==>(y + 5) (2y - 7) = 0<BR>\n" );
document.write( "==> y+5 = 0   or 2y - 7 = 0<BR>\n" );
document.write( "==> y = -5  or  y = 7/2\r<BR>\n" );
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document.write( "4>  (4x-3)(4x+3)<BR>\n" );
document.write( "   = (4x)^2 - 3^2  [as (a+b)(a-b) = a^2 - b^2]<BR>\n" );
document.write( "   = 16x^2 - 9\r<BR>\n" );
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document.write( "Good Luck!!! </SPAN>\n" );
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