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Popular >

x+2e^{-4t}x=0

Solution

x + 2 e^{- 4 t} x = 0

Solution

x = 0

Solution steps

x + 2 e^{- 4 t} x = 0

Factor

x + 2 e^{- 4 t} x : x (2 e^{- 2 t} + 2^{\frac{3}{4}} e^{- t} + 1) (2 e^{- 2 t} - 2^{\frac{3}{4}} e^{- t} + 1)

x (2 e^{- 2 t} + 2^{\frac{3}{4}} e^{- t} + 1) (2 e^{- 2 t} - 2^{\frac{3}{4}} e^{- t} + 1) = 0

Using the Zero Factor Principle:

If

ab = 0

then

a = 0

or

b = 0

x = 0 or 2 e^{- 2 t} + 2^{\frac{3}{4}} e^{- t} + 1 = 0 or 2 e^{- 2 t} - 2^{\frac{3}{4}} e^{- t} + 1 = 0

x = 0

Solve

2 e^{- 2 t} + 2^{\frac{3}{4}} e^{- t} + 1 = 0 :

No Solution for

t \in R

Solve

2 e^{- 2 t} - 2^{\frac{3}{4}} e^{- t} + 1 = 0 :

No Solution for

t \in R

The solution is

x = 0

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Frequently Asked Questions (FAQ)

What is the answer to x+2e^{-4t}x=0 ?
The answer to x+2e^{-4t}x=0 is x=0