(1+t)-expR(t)=0

Solution for (1+t)-expR(t)=0 equation:

Simplifying
(1 + t) + -1expR(t) = 0

Remove parenthesis around (1 + t)
1 + t + -1expR(t) = 0

Multiply epxR * t
1 + t + -1eptxR = 0

Reorder the terms:
1 + -1eptxR + t = 0

Solving
1 + -1eptxR + t = 0

Solving for variable 'e'.

Move all terms containing e to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1eptxR + -1 + t = 0 + -1

Reorder the terms:
1 + -1 + -1eptxR + t = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1eptxR + t = 0 + -1
-1eptxR + t = 0 + -1

Combine like terms: 0 + -1 = -1
-1eptxR + t = -1

Add '-1t' to each side of the equation.
-1eptxR + t + -1t = -1 + -1t

Combine like terms: t + -1t = 0
-1eptxR + 0 = -1 + -1t
-1eptxR = -1 + -1t

Divide each side by '-1ptxR'.
e = p-1t-1x-1R-1 + p-1x-1R-1

Simplifying
e = p-1t-1x-1R-1 + p-1x-1R-1