document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=448926>Question 448926</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If P=12  8 x p = q x 6\r<BR>\n" );
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document.write( "q = _______________ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #308923 by </B><A HREF=/tutors/aboutme.mpl?userid=TheDoctor><B>TheDoctor(14)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TheDoctor><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=TheDoctor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=308923\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 8xp = qx(6)<BR>\n" );
document.write( "Reorder the terms for easier multiplication:<BR>\n" );
document.write( "8px = 6qx<BR>\n" );
document.write( "Solving<BR>\n" );
document.write( "8px = 6qx<BR>\n" );
document.write( "Solving for variable 'p'.<BR>\n" );
document.write( "Move all terms containing p to the left, all other terms to the right.<BR>\n" );
document.write( "Divide each side by '8x'.<BR>\n" );
document.write( "p = 0.75q<BR>\n" );
document.write( "Simplifying<BR>\n" );
document.write( "p = 0.75q<BR>\n" );
document.write( "Simplifying<BR>\n" );
document.write( "8x(0.75) = qx(6)\r<BR>\n" );
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document.write( "Reorder the terms for easier multiplication:<BR>\n" );
document.write( "8 * 0.75x = qx(6)\r<BR>\n" );
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document.write( "Multiply 8 * 0.75<BR>\n" );
document.write( "6x = qx(6)\r<BR>\n" );
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document.write( "Reorder the terms for easier multiplication:<BR>\n" );
document.write( "6x = 6qx\r<BR>\n" );
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document.write( "Solving<BR>\n" );
document.write( "6x = 6qx\r<BR>\n" );
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document.write( "Solving for variable 'x'.\r<BR>\n" );
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document.write( "Move all terms containing x to the left, all other terms to the right.\r<BR>\n" );
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document.write( "Add '-6qx' to each side of the equation.<BR>\n" );
document.write( "-6qx + 6x = 6qx + -6qx\r<BR>\n" );
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document.write( "Combine like terms: 6qx + -6qx = 0<BR>\n" );
document.write( "-6qx + 6x = 0\r<BR>\n" );
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document.write( "Factor out the Greatest Common Factor (GCF), '6x'.<BR>\n" );
document.write( "6x(-1q + 1) = 0\r<BR>\n" );
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document.write( "Ignore the factor 6.<BR>\n" );
document.write( "Subproblem 1Set the factor 'x' equal to zero and attempt to solve:\r<BR>\n" );
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document.write( "Simplifying<BR>\n" );
document.write( "x = 0\r<BR>\n" );
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document.write( "Solving<BR>\n" );
document.write( "x = 0\r<BR>\n" );
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document.write( "Move all terms containing x to the left, all other terms to the right.\r<BR>\n" );
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document.write( "Simplifying<BR>\n" );
document.write( "x = 0<BR>\n" );
document.write( "Subproblem 2Set the factor '(-1q + 1)' equal to zero and attempt to solve:\r<BR>\n" );
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document.write( "Simplifying<BR>\n" );
document.write( "-1q + 1 = 0\r<BR>\n" );
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document.write( "Reorder the terms:<BR>\n" );
document.write( "1 + -1q = 0\r<BR>\n" );
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document.write( "Solving<BR>\n" );
document.write( "1 + -1q = 0\r<BR>\n" );
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document.write( "Move all terms containing x to the left, all other terms to the right.\r<BR>\n" );
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document.write( "Add '-1' to each side of the equation.<BR>\n" );
document.write( "1 + -1 + -1q = 0 + -1\r<BR>\n" );
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document.write( "Combine like terms: 1 + -1 = 0<BR>\n" );
document.write( "0 + -1q = 0 + -1<BR>\n" );
document.write( "-1q = 0 + -1\r<BR>\n" );
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document.write( "Combine like terms: 0 + -1 = -1<BR>\n" );
document.write( "-1q = -1\r<BR>\n" );
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document.write( "Add 'q' to each side of the equation.<BR>\n" );
document.write( "-1q + q = -1 + q\r<BR>\n" );
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document.write( "Combine like terms: -1q + q = 0<BR>\n" );
document.write( "0 = -1 + q\r<BR>\n" );
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document.write( "Simplifying<BR>\n" );
document.write( "0 = -1 + q\r<BR>\n" );
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document.write( "The solution to this equation could not be determined.\r<BR>\n" );
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document.write( "This subproblem is being ignored because a solution could not be determined.Solutionx = {0}<BR>\n" );
document.write( "Simplifying<BR>\n" );
document.write( "8(0.75) = q(6)\r<BR>\n" );
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document.write( "Multiply 8 * 0.75<BR>\n" );
document.write( "6 = q(6)\r<BR>\n" );
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document.write( "Reorder the terms for easier multiplication:<BR>\n" );
document.write( "6 = 6q\r<BR>\n" );
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document.write( "Solving<BR>\n" );
document.write( "6 = 6q\r<BR>\n" );
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document.write( "Solving for variable 'q'.\r<BR>\n" );
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document.write( "Move all terms containing q to the left, all other terms to the right.\r<BR>\n" );
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document.write( "Add '-6q' to each side of the equation.<BR>\n" );
document.write( "6 + -6q = 6q + -6q\r<BR>\n" );
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document.write( "Combine like terms: 6q + -6q = 0<BR>\n" );
document.write( "6 + -6q = 0\r<BR>\n" );
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document.write( "Add '-6' to each side of the equation.<BR>\n" );
document.write( "6 + -6 + -6q = 0 + -6\r<BR>\n" );
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document.write( "Combine like terms: 6 + -6 = 0<BR>\n" );
document.write( "0 + -6q = 0 + -6<BR>\n" );
document.write( "-6q = 0 + -6\r<BR>\n" );
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document.write( "Combine like terms: 0 + -6 = -6<BR>\n" );
document.write( "-6q = -6\r<BR>\n" );
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document.write( "Divide each side by '-6'.<BR>\n" );
document.write( "q = 1\r<BR>\n" );
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document.write( "Simplifying<BR>\n" );
document.write( "q = 1<BR>\n" );
document.write( "Simplifying<BR>\n" );
document.write( "8(12) = q(6)\r<BR>\n" );
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document.write( "Multiply 8 * 12<BR>\n" );
document.write( "96 = q(6)\r<BR>\n" );
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document.write( "Reorder the terms for easier multiplication:<BR>\n" );
document.write( "96 = 6q\r<BR>\n" );
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document.write( "Solving<BR>\n" );
document.write( "96 = 6q\r<BR>\n" );
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document.write( "Solving for variable 'q'.\r<BR>\n" );
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document.write( "Move all terms containing q to the left, all other terms to the right.\r<BR>\n" );
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document.write( "Add '-6q' to each side of the equation.<BR>\n" );
document.write( "96 + -6q = 6q + -6q\r<BR>\n" );
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document.write( "Combine like terms: 6q + -6q = 0<BR>\n" );
document.write( "96 + -6q = 0\r<BR>\n" );
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document.write( "Add '-96' to each side of the equation.<BR>\n" );
document.write( "96 + -96 + -6q = 0 + -96\r<BR>\n" );
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document.write( "Combine like terms: 96 + -96 = 0<BR>\n" );
document.write( "0 + -6q = 0 + -96<BR>\n" );
document.write( "-6q = 0 + -96\r<BR>\n" );
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document.write( "Combine like terms: 0 + -96 = -96<BR>\n" );
document.write( "-6q = -96\r<BR>\n" );
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document.write( "Divide each side by '-6'.<BR>\n" );
document.write( "q = 16\r<BR>\n" );
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document.write( "Simplifying<BR>\n" );
document.write( "q = 16<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );