document.write( "Question 99502: 6x^2 - 28x - 48 Factoring \n" ); document.write( "

Algebra.Com's Answer #72478 by elima(1433) $\"\"$ $\"About$

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6x^2 - 28x - 48
\n" ); document.write( "First lets factor out 2;
\n" ); document.write( " $\"2%283x%5E2-14x-24%29\"$
\n" ); document.write( "Now lets factor, lets put aside the 2 for now and then bring it back after we factor the equation;
\n" ); document.write( "(3x+4)(x-6)=0
\n" ); document.write( "now bring in the 2 and distribute;
\n" ); document.write( "2(3x+4)=0
\n" ); document.write( "6x+8=0
\n" ); document.write( "6x=-8
\n" ); document.write( " $\"x=-8%2F6\"$
\n" ); document.write( "2(x-6)=0
\n" ); document.write( "2x-12=0
\n" ); document.write( "2x=12
\n" ); document.write( "x=6
\n" ); document.write( "Now we plug each answer we got for x into the original equation and check which one is the correct one;
\n" ); document.write( " $\"6%28-8%2F6%29-28%28-8%2F6%29-48=0\"$
\n" ); document.write( " $\"-8%2B224%2F6-48=0\"$
\n" ); document.write( " $\"-112%2F6=0\"$ no
\n" ); document.write( " $\"6%286%29%5E2-28%286%29-48=0\"$
\n" ); document.write( "6(36)-168-48=0
\n" ); document.write( "216-168-48=0
\n" ); document.write( "0=0 yes
\n" ); document.write( "so the answer;
\n" ); document.write( "x=6
\n" ); document.write( ":)
\n" ); document.write( " \n" ); document.write( "

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