What is the answer to -2(e^{-x^2}-2e^{-x^2}x^2)=0 ?

The answer to -2(e^{-x^2}-2e^{-x^2}x^2)=0 is x=-1/(sqrt(2)),x= 1/(sqrt(2))

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-2(e^{-x^2}-2e^{-x^2}x^2)=0

- 2 (e^{- x^{2}} - 2 e^{- x^{2}} x^{2}) = 0

x = - \frac{1}{2}, x = \frac{1}{2}

Solution steps

- 2 (e^{- x^{2}} - 2 e^{- x^{2}} x^{2}) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

e^{- x^{2}} - 2 e^{- x^{2}} x^{2} = 0

Solve

e^{- x^{2}} - 2 e^{- x^{2}} x^{2} = 0 : x = - \frac{1}{2}, x = \frac{1}{2}

x = - \frac{1}{2}, x = \frac{1}{2}

0 = - e^{- x} + 3 e^{- 3 x}

2^{\frac{x}{15}} = 10

x = e^{\frac{( x l n ( 2 ) )}{2}}

4 9^{x} \cdot 7^{x^{2}} = 240 1^{2}

2500 = 5000 e^{100 x}

What is the answer to -2(e^{-x^2}-2e^{-x^2}x^2)=0 ?
The answer to -2(e^{-x^2}-2e^{-x^2}x^2)=0 is x=-1/(sqrt(2)),x= 1/(sqrt(2))