Numbers e & π...4

[nycmathguy]

How is this absolute value equation done?

| π + ex | = 50

 

[MathLover1]

Real solutions:
e x + π = 50

e x = 50-π
x = (50-π)/e

or
-(e x + π) = 50
(e x + π) = -50
e x = -50-π
x = -(50+π)/e

 

[nycmathguy]

View attachment 3713

View attachment 3714

Real solutions:
e x + π = 50

e x = 50-π
x = (50-π)/e

or
-(e x + π) = 50
(e x + π) = -50
e x = -50-π
x = -(50+π)/e

Again, where did the radical come from?