What is the answer to e^xx^2+4xe^x+3e^x=0 ?

The answer to e^xx^2+4xe^x+3e^x=0 is x=-1,x=-3

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e^xx^2+4xe^x+3e^x=0

e^{x} x^{2} + 4 x e^{x} + 3 e^{x} = 0

x = - 1, x = - 3

Solution steps

e^{x} x^{2} + 4 x e^{x} + 3 e^{x} = 0

Factor

e^{x} x^{2} + 4 x e^{x} + 3 e^{x} : e^{x} (x + 1) (x + 3)

e^{x} (x + 1) (x + 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

e^{x} = 0 or x + 1 = 0 or x + 3 = 0

Solve

e^{x} = 0 :

No Solution for

x \in R

Solve

x + 1 = 0 : x = - 1

Solve

x + 3 = 0 : x = - 3

x = - 1, x = - 3

2^{x} - 15 = 17

e^{11 x + 1} = k

9^{x - 2} = 3

25 e^{- 0.3 x} = 12

3^{x} - (\frac{27}{3})^{x} = 26

What is the answer to e^xx^2+4xe^x+3e^x=0 ?
The answer to e^xx^2+4xe^x+3e^x=0 is x=-1,x=-3