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}

Decimal Notation

x = - 0.70710 \dots, x = 0.70710 \dots

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}

2^{3 - x} = 4^{x}

e^{2 x} + 2 e^{x} - 3 = 0

e^{- x} (1 - x) = 0

1 6^{- 5} = 2^{x}

9 \cdot 2 0^{x} = 100

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))