document.write( "Question 293591: Solve the equation $\"8x%5E3%2B4x%5E2-18x-9=0\"$ algebraically for all values of x.\r
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Algebra.Com's Answer #211893 by nerdybill(7384) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"8x%5E3%2B4x%5E2-18x-9=0\"$
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\n" ); document.write( "Group terms:
\n" ); document.write( " $\"%288x%5E3%2B4x%5E2%29-%2818x%2B9%29=0\"$
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\n" ); document.write( " $\"4x%5E2%282x%2B1%29-9%282x%2B1%29=0\"$
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\n" ); document.write( " $\"%282x%2B1%29%284x%5E2-9%29=0\"$
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\n" ); document.write( "Set each term to zero:
\n" ); document.write( "2x+1 = 0
\n" ); document.write( "2x = -1
\n" ); document.write( "x = -1/2
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\n" ); document.write( "4x^2-9 = 0
\n" ); document.write( "4x^2 = 9
\n" ); document.write( "x^2 = 9/4
\n" ); document.write( "x = +- 3/2
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\n" ); document.write( "x = {-3/2, -1/2, 3/2}
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