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

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

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solvefor x,0=2e^{-x}x+(-e^{-x})x^2

solve for

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

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:

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

4^{x} = 5^{x - 1}

y, x = 1 0^{y}

2^{x} = 134217728

2 7^{x} = 3^{2 x - 1}

24 3^{2} = 9^{x + 2}

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