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

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

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

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

x = 0, x = 2

Solution steps

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

Factor

2 e^{- x} x - e^{- x} x^{2} : e^{- x} x (2 - x)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

e^{- x} = 0 :

No Solution for

x \in R

Solve

2 - x = 0 : x = 2

x = 0, x = 2

1 0^{y + 1} = e^{2} lo g_{10} (e)

6 4^{- x} = 4

2^{x + 2} + 2^{x - 3} = 66

7^{- x + 2} = 1 5^{- 2 x}

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

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