document.write( "Question 358754: Help me solve for x algebraically, not graphically:\r
\n" ); document.write( "\n" ); document.write( "x + 2e^(2x)=0\r
\n" ); document.write( "\n" ); document.write( "Thank you! \n" ); document.write( "

Algebra.Com's Answer #256342 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
I don't think there is a standard closed form solution, unless you're interested in the Lambert W function and then,
\n" ); document.write( " $\"highlight%28x=-W%284%29%2F2%29\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "I solved it using Newton's method.
\n" ); document.write( "f(x)= $\"x%2B+2e%5E%282x%29\"$
\n" ); document.write( "f'(x)= $\"1%2B4x%5E%282x%29\"$
\n" ); document.write( " $\"highlight%28x=-0.60108%29\"$ \n" ); document.write( "

\n" );