What is the answer to 4x^3*e^{-3x}-3x^4*e^{-3x}=0 ?

The answer to 4x^3*e^{-3x}-3x^4*e^{-3x}=0 is x=0,x= 4/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4x^3e^{-3x}-3x^4e^{-3x}=0

4 x^{3} \cdot e^{- 3 x} - 3 x^{4} \cdot e^{- 3 x} = 0

x = 0, x = \frac{4}{3}

Decimal Notation

x = 0, x = 1.33333 \dots

Solution steps

4 x^{3} e^{- 3 x} - 3 x^{4} e^{- 3 x} = 0

Factor

4 x^{3} e^{- 3 x} - 3 x^{4} e^{- 3 x} : e^{- 3 x} x^{3} (4 - 3 x)

e^{- 3 x} x^{3} (4 - 3 x) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

e^{- 3 x} = 0 or x = 0 or 4 - 3 x = 0

Solve

e^{- 3 x} = 0 :

No Solution for

x \in R

Solve

4 - 3 x = 0 : x = \frac{4}{3}

x = 0, x = \frac{4}{3}

\frac{2 ^{x + 5}}{3 ^{x + 5}} = 0.01156

3^{x - 1} = 27

3^{2 x - 6} = 9^{4}

x^{l o g_{5} (x)} = 9

2^{4 x} = 8^{7 - x}

What is the answer to 4x^3*e^{-3x}-3x^4*e^{-3x}=0 ?
The answer to 4x^3*e^{-3x}-3x^4*e^{-3x}=0 is x=0,x= 4/3