document.write( "Question 55167: solve 6x^2-2=x by factoring. \n" ); document.write( "

Algebra.Com's Answer #37431 by funmath(2933) $\"\"$ $\"About$

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solve $\"6x%5E2-2=x\"$ by factoring.
\n" ); document.write( "First put the equation in standard form $\"highlight%28ax%5E2%2Bbx%2Bc=0%29\"$
\n" ); document.write( " $\"6x%5E2-x-2=x-x\"$
\n" ); document.write( " $\"6x%5E2-x-2=0\"$
\n" ); document.write( "a=6, b=-1, and c=-2
\n" ); document.write( "We need to replace b (-1) with two integers that when multiplied give you a*c=6*-2=-12.
\n" ); document.write( "-4*3=-12
\n" ); document.write( "-4+3=-1
\n" ); document.write( " $\"6x%5E2-4x%2B3x-2=0\"$ Factor by grouping.
\n" ); document.write( " $\"%286x%5E2-4x%29%2B%283x-2%29=0\"$
\n" ); document.write( " $\"2x%283x-2%29%2B1%283x-2%29=0\"$
\n" ); document.write( " $\"%282x%2B1%29%283x-2%29=0\"$ Set each parenthesis = to 0 and solve for x.
\n" ); document.write( " $\"2x%2B1=0\"$ and $\"3x-2=0\"$
\n" ); document.write( " $\"2x%2B1-1=0-1\"$ and $\"3x-2%2B2=0%2B2\"$
\n" ); document.write( " $\"2x=-1\"$ and $\"3x=2\"$
\n" ); document.write( " $\"2x%2F2=-1%2F2\"$ and $\"3x%2F3=2%2F3\"$
\n" ); document.write( " $\"x=-1%2F2\"$ and $\"x=2%2F3\"$
\n" ); document.write( "Another way to write it is x={-1/2,2/3}
\n" ); document.write( "Happy Calculating!!! \n" ); document.write( "

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