document.write( "Question 59398: Using polynomials times monomials how do i set up the steps in this problem 4(2n + 3) - 3(n - 1) = 0 \n" ); document.write( "

Algebra.Com's Answer #40690 by Edwin McCravy(20086) $\"\"$ $\"About$

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Using polynomials times monomials how do i set up the\r\n" );
document.write( "steps in this problem\r\n" );
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document.write( " 4(2n + 3) - 3(n - 1) = 0\r\n" );
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document.write( "Get rid of the parentheses using the distributive \r\n" );
document.write( "property:\r\n" );
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document.write( "Multiply the 4 times the 2n which gives 8n\r\n" );
document.write( "Multiply the 4 times the +3 which gives +12\r\n" );
document.write( "Multiply the -3 times the n which gives -3n\r\n" );
document.write( "Multiply the -3 times the -1 which gives +3\r\n" );
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document.write( "So the equation is now free of parentheses:\r\n" );
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document.write( "8n + 12 - 3n + 3 = 0\r\n" );
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document.write( "Combine the 8n and the -3n to get 5n\r\n" );
document.write( "Combine the +12 and the +3 to get +15\r\n" );
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document.write( "5n + 15 = 0\r\n" );
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document.write( "Add -15 to both sides\r\n" );
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document.write( "5n + 15 = 0\r\n" );
document.write( "    -15   -15\r\n" );
document.write( "-------------\r\n" );
document.write( "5n      = -15\r\n" );
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document.write( "Divide both sides by coefficient 5\r\n" );
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document.write( "5n    -15\r\n" );
document.write( "-- = -----\r\n" );
document.write( " 5     5\r\n" );
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document.write( "Cancel the 5's on the left, getting\r\n" );
document.write( "n, and divide -15 by 5 on the right,\r\n" );
document.write( "getting -3\r\n" );
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document.write( " n = -3\r\n" );
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document.write( "Edwin

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