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Popular >

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

Solution

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

Solution

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:

If

ab = 0

then

a = 0

or

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

Popular Examples

8^{3 x - 1} = 3 2^{x}

5^{x} = 13

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

3^{x+1}+3^x+3^{x-1}=39

3^{x + 1} + 3^{x} + 3^{x - 1} = 39

e^{- 9 x} = - 3

Frequently Asked Questions (FAQ)

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