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Popular >

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

Solution

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

Solution

x = - \frac{1}{3}

+1

Decimal Notation

x = - 0.33333 \dots

Solution steps

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

Factor

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

Using the Zero Factor Principle:

If

ab = 0

then

a = 0

or

b = 0

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

Solve

e^{3 x} = 0 :

No Solution for

x \in R

Solve

1 + 3 x = 0 : x = - \frac{1}{3}

x = - \frac{1}{3}

Popular Examples

25^x-23\times 5^x=50

2 5^{x} - 23 \times 5^{x} = 50

5^x+5^{x-1}+5^{x-3}+5^{x-4}=455

5^{x} + 5^{x - 1} + 5^{x - 3} + 5^{x - 4} = 455

25^{x-3}=5sqrt(125)

2 5^{x - 3} = 5125

x e^{x} + 1 = 0

4^{- x + 15} = 8^{x}

Frequently Asked Questions (FAQ)

What is the answer to e^{3x}+3e^{3x}x=0 ?
The answer to e^{3x}+3e^{3x}x=0 is x=-1/3