Solving for X Help?

Solve the following equation for X?

-2xe^-6x+x²e^-6x=0

I posted a forum thread similar to this but this one includes e.. Not sure how to solve for x when e is involved..

In the previous thread I posted, you just took the exponents that created a quadratic and solved for x that way. So would this be how you solve it?

-6x+2-6x=0
-12x+2=0
From here you would use the quadratic equation and get the answers 24 , 0

Would this be correct..?

Quote:

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Originally Posted by michellederz

Solve the following equation for X?

-2xe^-6x+x²e^-6x=0

I posted a forum thread similar to this but this one includes e.. Not sure how to solve for x when e is involved..

In the previous thread I posted, you just took the exponents that created a quadratic and solved for x that way. So would this be how you solve it?

-6x+2-6x=0
-12x+2=0
From here you would use the quadratic equation and get the answers 24 , 0

Would this be correct..?

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Actually I'd start by factoring:
$\displaystyle -2xe^{-6x} + x^2 e^{-6x} = 0$

$\displaystyle \left ( xe^{-6x} \right ) \left ( -2 + x ) = 0$

What possible zeros do we have? (Hint: there's two.)

-Dan

Quote:

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Originally Posted by topsquark

Actually I'd start by factoring:
$\displaystyle -2xe^{-6x} + x^2 e^{-6x} = 0$

$\displaystyle \left ( xe^{-6x} \right ) \left ( -2 + x ) = 0$

What possible zeros do we have? (Hint: there's two.)

-Dan

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Well one possible zero is 2 (I think..) but I am not sure how to find the other one form the other equation. Could the other possible zero be 0..?