en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

x = - W_{0} (\frac{2}{3})

+1

Decimal Notation

x = - 0.43256 \dots

Solution steps

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

Factor

2 e^{2 x} + 3 x e^{x} : e^{x} (2 e^{x} + 3 x)

e^{x} (2 e^{x} + 3 x) = 0

Using the Zero Factor Principle:

If

ab = 0

then

a = 0

or

b = 0

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

Solve

e^{x} = 0 :

No Solution for

x \in R

Solve

2 e^{x} + 3 x = 0 : x = - W_{0} (\frac{2}{3})

x = - W_{0} (\frac{2}{3})

Popular Examples

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

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

2^x-2^{-x}=5(1-2^{-x})

2^{x} - 2^{- x} = 5 (1 - 2^{- x})

3^{x-2}*2^{x-1}=1125

3^{x - 2} \cdot 2^{x - 1} = 1125

4^{x} = (2^{x})^{2}

2^{(x)}+4x+12=0

2^{(x)} + 4 x + 12 = 0

Frequently Asked Questions (FAQ)

What is the answer to 2e^{2x}+3xe^x=0 ?
The answer to 2e^{2x}+3xe^x=0 is x=-\W_{0}(2/3)