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Popular >

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

Solution

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

Solution

x = 0, x = 2

Solution steps

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

Factor

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

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

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

3^{2x}-2(3^x)-3=0

3^{2 x} - 2 (3^{x}) - 3 = 0

5^{x + 2} = 25

2^{x + 4} = 16

61 \cdot 2^{x} = 99

\frac{6}{( 2 ^{x} )} = 45

Frequently Asked Questions (FAQ)

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