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Popular >

0=4e^{4x}+16xe^{4x}

Solution

0 = 4 e^{4 x} + 16 x e^{4 x}

Solution

x = - \frac{1}{4}

+1

Decimal Notation

x = - 0.25

Solution steps

0 = 4 e^{4 x} + 16 x e^{4 x}

Factor

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

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

(sqrt(2))^{3x}= 1/8

(2)^{3 x} = \frac{1}{8}

4^{x+1}+2^{x+3}-320=0

4^{x + 1} + 2^{x + 3} - 320 = 0

3(2^{2x})-10(2^x)+8=0

3 (2^{2 x}) - 10 (2^{x}) + 8 = 0

4 \cdot 2^{5 x} = 64

8^{x+1}=2^{2x+5}

8^{x + 1} = 2^{2 x + 5}

Frequently Asked Questions (FAQ)

What is the answer to 0=4e^{4x}+16xe^{4x} ?
The answer to 0=4e^{4x}+16xe^{4x} is x=-1/4