document.write( "Question 1209206: y = -10x squared + 160x -430 and y = profit = 50, how much to sell t-shirts for
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Algebra.Com's Answer #847839 by ikleyn(53763) $\"\"$ $\"About$

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document.write( "Write equation as you read the problem\r\n" );
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document.write( "    -10x^2 + 160x - 430 = 50.\r\n" );
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document.write( "Collect all the terms in the left side\r\n" );
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document.write( "    -10x^2 + 160x - 430 - 50 = 0.\r\n" );
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document.write( "Combine like terms\r\n" );
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document.write( "    -10x^2 + 160x - 480 = 0.\r\n" );
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document.write( "Divide  all the terms by 10 (take off one zero symbol from all three terms)\r\n" );
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document.write( "    -x^2 + 16x - 48 = 0.\r\n" );
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document.write( "Change the sign in all terms on the left, for convenience\r\n" );
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document.write( "    x^2 - 16x + 48 = 0.\r\n" );
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document.write( "Factor left side\r\n" );
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document.write( "    (x-12)*(x-4) = 0.\r\n" );
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document.write( "The roots are 4 and 12.\r\n" );
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document.write( "So, x= 4 and x= 12 are two solutions to your problem.    ANSWER\r\n" );
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