What is the answer to (-0.1b)e^{-b(-6.7416)}=0.86083 ?

The answer to (-0.1b)e^{-b(-6.7416)}=0.86083 is No Solution for b\in\mathbb{R}

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(-0.1b)e^{-b(-6.7416)}=0.86083

(- 0.1 b) e^{- b (- 6.7416)} = 0.86083

No Solution for b \in R

Solution steps

(- 0.1 b) e^{- b (- 6.7416)} = 0.86083

Rewrite the equation with

- b (- 6.7416) = u

and

b = \frac{u}{6.7416}

(- 0.1 (\frac{u}{6.7416})) e^{u} = 0.86083

Rewrite

(- 0.1 (\frac{u}{6.7416})) e^{u} = 0.86083

in Lambert form:

e^{u} u = - \frac{39.12400 \dots}{0.67416}

Solve

e^{u} u = - \frac{39.12400 \dots}{0.67416} :

No Solution for

u \in R

No Solution for b \in R

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What is the answer to (-0.1b)e^{-b(-6.7416)}=0.86083 ?
The answer to (-0.1b)e^{-b(-6.7416)}=0.86083 is No Solution for b\in\mathbb{R}