document.write( "Question 258231: 5x^3+26x^2+5x=0 Find all real solutions of the equation \n" ); document.write( "

Algebra.Com's Answer #190082 by Earlsdon(6294) $\"\"$ $\"About$

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Solve for x:
\n" ); document.write( " $\"5x%5E3%2B26x%5E2%2B5x+=+0\"$ First, factor an x.
\n" ); document.write( " $\"x%285x%5E2%2B26x%2B5%29+=+0\"$ Apply the zero product rule.
\n" ); document.write( " $\"highlight%28x+=+0%29\"$ or...
\n" ); document.write( " $\"5x%5E2%2B26x%2B5+=+0\"$ Use the quadratic formula to solve for x: $\"x+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a\"$ Substitute a = 5, b = 26, and c = 5.
\n" ); document.write( " $\"x+=+%28-26%2B-sqrt%2826%5E2-4%285%29%285%29%29%29%2F%282%2A5%29\"$
\n" ); document.write( " $\"x+=+%28-26%2B-sqrt%28676-100%29%29%2F10\"$
\n" ); document.write( " $\"x+=+%28-26%2B-sqrt%28576%29%2F10%29\"$
\n" ); document.write( " $\"x+=+-2.6%2B2.4\"$ or $\"x+=+-2.6-2.4\"$
\n" ); document.write( " $\"highlight%28x+=+-0.2%29\"$ or $\"highlight%28x+=+-5%29\"$ \n" ); document.write( "

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