What is the answer to me^{mx}+3e^{mx}=0 ?

The answer to me^{mx}+3e^{mx}=0 is No Solution for x\in\mathbb{R}

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me^{mx}+3e^{mx}=0

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

No Solution for x \in R

Solution steps

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

Subtract

3 e^{m x}

from both sides

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

Simplify

m e^{m x} = - 3 e^{m x}

Move

3 e^{m x}

to the left side

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

Factor

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

e^{m x} (m + 3) = 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

22 = 200 \cdot (0.8)^{t}

4^{x + 1} \cdot (- 1) = - 4^{x + 1}

\frac{2 7 ^{4} 9 ^{- 6}}{81} = 3^{x}

2^{x + 2} + 2^{x - 2} + 2^{x} = 42

9^{x} = 5

What is the answer to me^{mx}+3e^{mx}=0 ?
The answer to me^{mx}+3e^{mx}=0 is No Solution for x\in\mathbb{R}