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Popular >

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

Solution

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

Solution

x = \frac{1}{4}

+1

Solution steps

e^{- 4 x} - 4 e^{- 4 x} 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

5^{x - 4} = 3^{2 x}

3^{2x}(3^{2x-1})^3=9

3^{2 x} (3^{2 x - 1})^{3} = 9

e^{-x}x^4-8e^{-x}x^3+12e^{-x}x^2=0

e^{- x} x^{4} - 8 e^{- x} x^{3} + 12 e^{- x} x^{2} = 0

3^{x} = 5^{2 x}

solvefor x,9^{5+2z}=x solve for

x, 9^{5 + 2 z} = x

Frequently Asked Questions (FAQ)

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