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Popular >

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

Solution

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

Solution

x = 0, x = - 3

Solution steps

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

Factor

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

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

Using the Zero Factor Principle:

If

ab = 0

then

a = 0

or

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

Popular Examples

133.9=(133.9)/(1+2e^{-t)}

133.9 = \frac{133.9}{1 + 2 e ^{- t}}

e^{x^2-4x}= 1/(e^{2x)}

e^{x^{2} - 4 x} = \frac{1}{e ^{2 x}}

2=(1+(0.065)/(12))^{12t}

2 = (1 + \frac{0.065}{12})^{12 t}

1 0^{x} = 1500

solvefor n,a^n=sqrt(a)solve for

n, a^{n} = a

Frequently Asked Questions (FAQ)

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