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Popular >

-xe^{-x}+7e^{-x}=0

Solution

- x e^{- x} + 7 e^{- x} = 0

Solution

x = 7

Solution steps

- x e^{- x} + 7 e^{- x} = 0

Factor

e^{- x} (- x + 7) = 0

Using the Zero Factor Principle:

If

ab = 0

then

a = 0

or

b = 0

e^{- x} = 0 or - x + 7 = 0

Solve

e^{- x} = 0 :

No Solution for

x \in R

Solve

- x + 7 = 0 : x = 7

x = 7

Graph

Popular Examples

8^{x + 1} = 128

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

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

2^{3x+2}=16^{3x-4}

2^{3 x + 2} = 1 6^{3 x - 4}

\frac{5}{1 + e ^{- x}} = 4

8=60x-1800+(1800)/(e^{x/(30))}

8 = 60 x - 1800 + \frac{1800}{e ^{\frac{x}{30}}}

Frequently Asked Questions (FAQ)

What is the answer to -xe^{-x}+7e^{-x}=0 ?
The answer to -xe^{-x}+7e^{-x}=0 is x=7