document.write( "Question 293833: I need help in factoring this equation! I also need it to be shown to me step by step because I dont know how to solve it!\r
\n" ); document.write( "\n" ); document.write( " $\"+2x%5E3-x%5E2-18x%2B9=0+\"$ \n" ); document.write( "

Algebra.Com's Answer #212006 by nerdybill(7384) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+2x%5E3-x%5E2-18x%2B9=0+\"$
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\n" ); document.write( "Apply the technique of \"grouping\" -- sometimes you may have to reorder terms but in your case you do not:
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\n" ); document.write( " $\"+%282x%5E3-x%5E2%29+-+%2818x%2B9%29+=0+\"$
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\n" ); document.write( "Now, factor each expression inside the parenthesis:
\n" ); document.write( " $\"+x%5E2%282x-1%29+-+9%282x%2B1%29+=0+\"$
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\n" ); document.write( " $\"+%282x-1%29%28x%5E2-+9%29+=0+\"$
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\n" ); document.write( "Check whether or not you can factor further. In this case, we see a \"difference of squares\":
\n" ); document.write( " $\"+%282x-1%29%28x-3%29%28x%2B3%29+=0+\"$
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\n" ); document.write( "From here, we see that our solutions are:
\n" ); document.write( "x = {1/2, 3, -3} \n" ); document.write( "

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