document.write( "Question 1037838: I am a tad confused on the 0\r
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document.write( "Solve by factoring:\r
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document.write( "(3n+2)(n-9)=0\r
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document.write( "Thank you so much \n" );
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Algebra.Com's Answer #652466 by Edwin McCravy(20063) You can put this solution on YOUR website! \r\n" ); document.write( "You are \"a tad confused\" :) about what's known as the\r\n" ); document.write( "\"zero-factor property\"\r\n" ); document.write( "\r\n" ); document.write( "(3n+2)(n-9) = 0\r\n" ); document.write( "\r\n" ); document.write( "is already factored with 0 on the right side.\r\n" ); document.write( "\r\n" ); document.write( "We have two things multiplied on the left,\r\n" ); document.write( "they are (3n+2) and (n-9). And when they\r\n" ); document.write( "are multiplied on the left side of the\r\n" ); document.write( "equation, the result is equal to the 0 on the\r\n" ); document.write( "right side of the equation\r\n" ); document.write( "\r\n" ); document.write( "We know that the only way that two things can\r\n" ); document.write( "be multiplied to get 0, is for one or both of\r\n" ); document.write( "them to be equal to zero.\r\n" ); document.write( "\r\n" ); document.write( "So we have two possibilities, either the\r\n" ); document.write( "first one (3n+2) equals 0 or else the second\r\n" ); document.write( "one (n-9) equals 0, so we make two equations, \r\n" ); document.write( "setting each one equal to 0 separately:\r\n" ); document.write( "\r\n" ); document.write( "(3n+2) = 0; (n-9) = 0\r\n" ); document.write( " 3n+2 = 0; n-9 = 0\r\n" ); document.write( " 3n = -2; n = 9\r\n" ); document.write( " n = -2/3\r\n" ); document.write( "\r\n" ); document.write( "So there are two solutions, -2/3 and 9\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |