E^-3x * (1-3x) = 0

Find x

1. Factor Equation

e^-3x=0

1-3x=0

2. Set first factor equal to 0 and solve

e^-3x=0

Rewrite as set of linear factors

e^-3*x=0

Take the natural logarithm of both sides

In (e^-3*x) = In (0)

Equation cannot be sloved because In (0) = undefined

3. Set next factor equal to 0 and solve

1-3x=0

Subtract 1 from both sides

1-3x-1=0-1

-3x=-1

4. Divide each term by - 3 and simplify

-3x/-3 = - 1/-3

x=-1/-3

4. Divide x by 1

X = 1/3