document.write( "Question 1203290: -1/6x(2x+12)=-1/3x+12 solve for X\r
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Algebra.Com's Answer #838733 by ikleyn(52790)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "-1/6x(2x+12)=-1/3x+12 solve for X
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document.write( "To simplify, multiply both sides by 6.  You will get\r\n" );
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document.write( "    -x*(2x+12) = -2x + 72.\r\n" );
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document.write( "Simplify further\r\n" );
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document.write( "    -2x^2 - 12x = -2x + 72.\r\n" );
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document.write( "Collect all the term in one side\r\n" );
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document.write( "    -2x^2 - 10x - 72 = 0.\r\n" );
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document.write( "Change the sign everythere\r\n" );
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document.write( "    2x^2 + 10x + 72 = 0.\r\n" );
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document.write( "Divide by 2\r\n" );
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document.write( "    x^2 + 5x + 36 = 0\r\n" );
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document.write( "Compute the discriminant of this quadratic equation\r\n" );
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document.write( "    d = b^2 - 4ac = 5^2 - 4*1*36.\r\n" );
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document.write( "Without calculations, it is clear that the discriminant is negative, \r\n" );
document.write( "which means that the equation HAS NO real solution/solutions.\r\n" );
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document.write( "It is what they want to be proven.\r\n" );
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\n" ); document.write( "\n" ); document.write( "If you want to see it visually, go to web-site\r
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\n" ); document.write( "\n" ); document.write( "www.desmos.com/calculator\r
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\n" ); document.write( "\n" ); document.write( "and use free of charge plotting tool there.\r
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\n" ); document.write( "\n" ); document.write( "Print your equations in the specialized windows, and you will see
\n" ); document.write( "that the parabola of the left side and the straight line of the right side
\n" ); document.write( "do not have common intersection points.\r
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\n" ); document.write( "\n" ); document.write( "It is the precise geometric meaning of the problem' statement.\r
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