document.write( "Question 709935: How do you solve x^3-4x=0? \n" ); document.write( "

Algebra.Com's Answer #436855 by jsmallt9(3758) $\"\"$ $\"About$

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$\"x%5E3-4x=0\"$
\n" ); document.write( "Factor. First the greatest common factor of x:
\n" ); document.write( " $\"x%28x%5E2-4%29=0\"$
\n" ); document.write( "The second factor is a difference of squares and can be factored using the pattern, $\"a%5E2-b%5E2+=+%28a%2Bb%29%28a-b%29\"$ , with the \"a\" being \"x\" and the \"b\" being \"2\":
\n" ); document.write( " $\"x%28x%2B2%29%28x-2%29=0\"$

\n" ); document.write( "Next we use the Zero Product Property which tells us that this product can be zero only if one (or more) of the factors is zero. So:
\n" ); document.write( "x = 0 or x+2 = 0 or x-2 = 0
\n" ); document.write( "Solving these we get:
\n" ); document.write( "x = 0 or x = -2 or x = 2 \n" ); document.write( "

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