document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=625925>Question 625925</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 7x^3-33x=30x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #393918 by </B><A HREF=/tutors/aboutme.mpl?userid=lenny460><B>lenny460(1073)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lenny460><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=lenny460><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=393918\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 7x^3 - 33x = 30x\r<BR>\n" );
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document.write( "Subtract 30x from each side of the equation.\r<BR>\n" );
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document.write( "7x^3 - 33x - 30x = 30x - 30x\r<BR>\n" );
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document.write( "Combine like terms:\r<BR>\n" );
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document.write( "-33x - 30x = -63x\r<BR>\n" );
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document.write( "30x - 30x = 0\r<BR>\n" );
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document.write( "We now have:\r<BR>\n" );
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document.write( "7x^3 - 63 = 0\r<BR>\n" );
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document.write( "Factor out the Greatest Common Factor (GCF) = 7x\r<BR>\n" );
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document.write( "7x(x^2 - 9) = 0\r<BR>\n" );
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document.write( "Factor a difference between two squares.\r<BR>\n" );
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document.write( "7x(x + 3)(x - 3) = 0\r<BR>\n" );
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document.write( "Ignore the factor 7.\r<BR>\n" );
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document.write( "Subproblem 1\r<BR>\n" );
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document.write( "Set the factor x equal to zero (0) and attempt to solve:\r<BR>\n" );
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document.write( "x = 0\r<BR>\n" );
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document.write( "Subproblem 2\r<BR>\n" );
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document.write( "Set the factor (x + 3) equal to zero (0) and attempt to solve.\r<BR>\n" );
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document.write( "x + 3 = 0\r<BR>\n" );
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document.write( "Subtract 3 from each side of the equation.\r<BR>\n" );
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document.write( "x + 3 - 3 = 0 - 3\r<BR>\n" );
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document.write( "Combine like terms:\r<BR>\n" );
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document.write( "3 - 3 = 0\r<BR>\n" );
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document.write( "0 - 3 = -3\r<BR>\n" );
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document.write( "x = -3\r<BR>\n" );
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document.write( "Subproblem 3\r<BR>\n" );
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document.write( "Set the factor (x - 3) equal to zero (0) and attempt to solve:\r<BR>\n" );
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document.write( "x - 3 = 0\r<BR>\n" );
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document.write( "Add 3 to each side of the equation.\r<BR>\n" );
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document.write( "x - 3 + 3 = 0 + 3\r<BR>\n" );
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document.write( "Combine like terms:\r<BR>\n" );
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document.write( "-3 + 3 = 0\r<BR>\n" );
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document.write( "0 + 3 = 3\r<BR>\n" );
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document.write( "x = 3\r<BR>\n" );
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document.write( "Solution:\r<BR>\n" );
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document.write( "x (0, -3, 3)\r<BR>\n" );
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document.write( "obuong3@aol.com </SPAN>\n" );
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