What is the answer to 3e^{-x}x^2-e^{-x}x^3=0 ?

The answer to 3e^{-x}x^2-e^{-x}x^3=0 is x=0,x=3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

x = 0, x = 3

Solution steps

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

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

e^{- x} = 0 :

No Solution for

x \in R

Solve

3 - x = 0 : x = 3

x = 0, x = 3

8^{x + 3} = \frac{1}{16}

e^{x} = e^{x^{2} - 6}

3^{2 x - 1} = 2^{x + 3}

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

9^{x + 1} - 28 \times 3^{x} + 3 = 0

What is the answer to 3e^{-x}x^2-e^{-x}x^3=0 ?
The answer to 3e^{-x}x^2-e^{-x}x^3=0 is x=0,x=3