40/(1-5e^-0.01)=200

Solution for 40/(1-5e^-0.01)=200 equation:

40/(1-5e^-0.01)=200

We move all terms to the left:

40/(1-5e^-0.01)-(200)=0


Domain of the equation: (1-5e^-0.01)!=0

We move all terms containing e to the left, all other terms to the right

-5e^!=-0.99

e!=-0.99/-5

e!=0.99/5

e∈R


We multiply all the terms by the denominator


-200*(1-5e^-0.01)+40=0

We multiply parentheses

1000e-200+2+40=0

We add all the numbers together, and all the variables

1000e-158=0

We move all terms containing e to the left, all other terms to the right

1000e=158

e=158/1000

e=79/500