What is the answer to me^{mx}+2e^{mx}=0 ?

The answer to me^{mx}+2e^{mx}=0 is No Solution for x\in\mathbb{R}

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me^{mx}+2e^{mx}=0

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

No Solution for x \in R

Solution steps

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

Subtract

2 e^{m x}

from both sides

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

Simplify

m e^{m x} = - 2 e^{m x}

Move

2 e^{m x}

to the left side

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

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

e^{m x} = 0

a^{f (x)}

cannot be zero or negative for

x \in R

No Solution for x \in R

(100)^{x} = 0

8 1^{x} = 9

e^{2 z - 1} = 1

7^{x - 2} = 5^{x}

12 5^{x} = 0.04

What is the answer to me^{mx}+2e^{mx}=0 ?
The answer to me^{mx}+2e^{mx}=0 is No Solution for x\in\mathbb{R}