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Popular >

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

Solution

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

Solution

x = - \frac{1}{2}

+1

Decimal Notation

x = - 0.5

Solution steps

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

Factor

e^{2 x} (1 + 2 x) = 0

Using the Zero Factor Principle:

If

ab = 0

then

a = 0

or

b = 0

e^{2 x} = 0 or 1 + 2 x = 0

Solve

e^{2 x} = 0 :

No Solution for

x \in R

Solve

1 + 2 x = 0 : x = - \frac{1}{2}

x = - \frac{1}{2}

Popular Examples

(3x+16)/(2^x)=0

\frac{3 x + 16}{2 ^{x}} = 0

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

3^{x-1}= 3/(sqrt(27))

3^{x - 1} = \frac{3}{27}

e^{3 a} = 8

8^{x-3}=4^{3x-1}

8^{x - 3} = 4^{3 x - 1}

Frequently Asked Questions (FAQ)

What is the answer to e^{2x}+2xe^{2x}=0 ?
The answer to e^{2x}+2xe^{2x}=0 is x=-1/2