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Popular >

e^{-4x}-4xe^{-4x}=0

Solution

e^{- 4 x} - 4 x e^{- 4 x} = 0

Solution

x = \frac{1}{4}

+1

Solution steps

e^{- 4 x} - 4 x e^{- 4 x} = 0

Factor

e^{- 4 x} (1 - 4 x) = 0

Using the Zero Factor Principle:

If

ab = 0

then

a = 0

or

b = 0

e^{- 4 x} = 0 or 1 - 4 x = 0

Solve

e^{- 4 x} = 0 :

No Solution for

x \in R

Solve

1 - 4 x = 0 : x = \frac{1}{4}

x = \frac{1}{4}

Popular Examples

1 0^{a} = 92

2*5^{x+1}+5^{x-1}=51

2 \cdot 5^{x + 1} + 5^{x - 1} = 51

(\frac{1}{2})^{x + 1} = 8

solvefor x,r-4s+4t=e^{2x+y}solve for

x, r - 4 s + 4 t = e^{2 x + y}

e^{x+8}=8^{x/2}

e^{x + 8} = 8^{\frac{x}{2}}

Frequently Asked Questions (FAQ)

What is the answer to e^{-4x}-4xe^{-4x}=0 ?
The answer to e^{-4x}-4xe^{-4x}=0 is x= 1/4