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Popular >

6xe^x+5e^{x+2}=0

Solution

6 x e^{x} + 5 e^{x + 2} = 0

Solution

x = - \frac{5 e ^{2}}{6}

+1

Decimal Notation

x = - 6.15754 \dots

Solution steps

6 x e^{x} + 5 e^{x + 2} = 0

Factor

6 x e^{x} + 5 e^{x + 2} : e^{x} (6 x + 5 e^{2})

e^{x} (6 x + 5 e^{2}) = 0

Using the Zero Factor Principle:

If

ab = 0

then

a = 0

or

b = 0

e^{x} = 0 or 6 x + 5 e^{2} = 0

Solve

e^{x} = 0 :

No Solution for

x \in R

Solve

6 x + 5 e^{2} = 0 : x = - \frac{5 e ^{2}}{6}

x = - \frac{5 e ^{2}}{6}

Popular Examples

3^{2x-3}=5^{4x+5}

3^{2 x - 3} = 5^{4 x + 5}

3^{x} = 5^{x - 1}

27=3^{5x}9^{x^2}

27 = 3^{5 x} 9^{x^{2}}

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

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

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

Frequently Asked Questions (FAQ)

What is the answer to 6xe^x+5e^{x+2}=0 ?
The answer to 6xe^x+5e^{x+2}=0 is x=-(5e^2)/6