document.write( "Question 973037: How do I find the zeros of this problem?\r
\n" ); document.write( "\n" ); document.write( "f(x)=x^3(4e^(4x))+3x^2*e^(4x)\r
\n" ); document.write( "\n" ); document.write( "Thank you so much!! \n" ); document.write( "

Algebra.Com's Answer #595301 by macston(5194) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "Set equation=0
\n" ); document.write( " $\"x%5E3%284e%5E%284x%29%29%2B3x%5E2%2Ae%5E%284x%29=0\"$ factor out $\"x%5E2e%5E%284x%29\"$
\n" ); document.write( " $\"%28x%5E2e%5E%284x%29%29%284x%2B3%29=0\"$
\n" ); document.write( " $\"x%5E2e%5E%284x%29=0\"$ $\"or\"$ $\"4x%2B3=0\"$
\n" ); document.write( ".
\n" ); document.write( "Since $\"e%5E%284x%29%29\"$ is not zero (a number other than 0 raised to a power cannot equal 0), the first equation changes to x^2=0.
\n" ); document.write( ".
\n" ); document.write( " $\"x%5E2=0\"$ $\"or\"$ $\"4x%2B3=0\"$
\n" ); document.write( " $\"+x=0\"$ $\"or\"$ $\"x=-3%2F4\"$
\n" ); document.write( " \n" ); document.write( "

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