en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2x^2e^{-x}=18e^{-x}

Solution

2 x^{2} e^{- x} = 18 e^{- x}

Solution

x = - 3, x = 3

Solution steps

2 x^{2} e^{- x} = 18 e^{- x}

Subtract

18 e^{- x}

from both sides

2 x^{2} e^{- x} - 18 e^{- x} = 18 e^{- x} - 18 e^{- x}

Simplify

2 x^{2} e^{- x} - 18 e^{- x} = 0

Factor

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

Using the Zero Factor Principle:

If

ab = 0

then

a = 0

or

b = 0

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

Solve

e^{- x} = 0 :

No Solution for

x \in R

Solve

x + 3 = 0 : x = - 3

Solve

x - 3 = 0 : x = 3

x = - 3, x = 3

Popular Examples

25(5^{2x})+99(5^x)-4=0

25 (5^{2 x}) + 99 (5^{x}) - 4 = 0

2^{2 x} + 2 x - 6 = 0

9 (2.3)^{3 x} = 18

3^{x + 2} = 729

118.85*1.2^x=550

118.85 \cdot 1. 2^{x} = 550

Frequently Asked Questions (FAQ)

What is the answer to 2x^2e^{-x}=18e^{-x} ?
The answer to 2x^2e^{-x}=18e^{-x} is x=-3,x=3