Question 10298
You can't solve for a algebaicly
We try a numerical approach
 We have exp(-a)(1+a) = .95

 Then 1 + a = .95 exp(a)

 Plot the functions f(a) = 1+a and g(a) = .95 exp(a)

 See where they intersect and estimate an approximate value of a

 Call this value of a 

   a_0

 Try iterating values in the recursion relation 

 a_(n+1) = .95 exp(a_n) - 1

 Note: a_0 is read a sub zero, a_(n+1)  is read a sub n plus one

 When you get values of this sequence that don't differ by much then quit
the iterations. Then you have an approximate value of a