What is the answer to m^2e^{mx}+me^{mx}-6e^{mx}=0 ?

The answer to m^2e^{mx}+me^{mx}-6e^{mx}=0 is No Solution for x\in\mathbb{R}

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m^2e^{mx}+me^{mx}-6e^{mx}=0

m^{2} e^{m x} + m e^{m x} - 6 e^{m x} = 0

No Solution for x \in R

Solution steps

m^{2} e^{m x} + m e^{m x} - 6 e^{m x} = 0

Factor

m^{2} e^{m x} + m e^{m x} - 6 e^{m x} : e^{m x} (m^{2} + m - 6)

e^{m x} (m^{2} + m - 6) = 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

7^{4 x + 3} = 21

(100)^{x} = 1

k, 10.5 = 15 (1 - e^{- 40 k})

\frac{8}{2 ^{n}} = 2

4^{x + 1} = 0.25

What is the answer to m^2e^{mx}+me^{mx}-6e^{mx}=0 ?
The answer to m^2e^{mx}+me^{mx}-6e^{mx}=0 is No Solution for x\in\mathbb{R}