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Popular >

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

Solution

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

Solution

x = 1

Solution steps

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

Factor

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

Using the Zero Factor Principle:

If

ab = 0

then

a = 0

or

b = 0

e^{- x} = 0 or 1 - x = 0

Solve

e^{- x} = 0 :

No Solution for

x \in R

Solve

1 - x = 0 : x = 1

x = 1

Popular Examples

3^x5^{x+1}=12^{2x-1}

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

1=e^{(-1)/3 (1^3+3+3c)}

1 = e^{\frac{- 1}{3} (1^{3} + 3 + 3 c)}

2^{x^2-14}= 1/1024

2^{x^{2} - 14} = \frac{1}{1024}

3^{2x-1}x^9=3^{x+2}x^{27}

3^{2 x - 1} x^{9} = 3^{x + 2} x^{27}

solvefor x,8^y=4^{2x+1}solve for

x, 8^{y} = 4^{2 x + 1}

Frequently Asked Questions (FAQ)

What is the answer to 2e^{-x}-2xe^{-x}=0 ?
The answer to 2e^{-x}-2xe^{-x}=0 is x=1