document.write( "Question 1193299: what is the step by step solution to w(2w+1)=15 and how do I discover what the width is \n" ); document.write( "

Algebra.Com's Answer #825315 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( " Here is the way to solve the problem MENTALLY.\r
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document.write( "Take your original equation\r\n" );
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document.write( "    w*(2w+1) = 15\r\n" );
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document.write( "and multiply both sides by 2.  You will get an EQUIVALENT equation\r\n" );
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document.write( "    2w*(2w+1) = 30.\r\n" );
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document.write( "Now ask yourself, which two consecutive numbers, 2w and 2w+1 make the product of 30.\r\n" );
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document.write( "One guess is obvious: the numbers are 5 and 6.\r\n" );
document.write( "Hence, 2w = 5,  which gives  w = 5/2 = 2.5.\r\n" );
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document.write( "    Another guess  is -5 and -6, \r\n" );
document.write( "    which gives  2w+1 = -5,   2w = -6,   w = -3.\r\n" );
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