4e^3x-4e^2=0

Solution for 4e^3x-4e^2=0 equation:

Simplifying
4e3x + -4e2 = 0

Reorder the terms:
-4e2 + 4e3x = 0

Solving
-4e2 + 4e3x = 0

Solving for variable 'e'.

Factor out the Greatest Common Factor (GCF), '4e2'.
4e2(-1 + ex) = 0

Ignore the factor 4.
Subproblem 1
Set the factor 'e2' equal to zero and attempt to solve:

Simplifying
e2 = 0

Solving
e2 = 0

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

Simplifying
e2 = 0

Take the square root of each side:
e = {0}
Subproblem 2
Set the factor '(-1 + ex)' equal to zero and attempt to solve:

Simplifying
-1 + ex = 0

Solving
-1 + ex = 0

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

Add '1' to each side of the equation.
-1 + 1 + ex = 0 + 1

Combine like terms: -1 + 1 = 0
0 + ex = 0 + 1
ex = 0 + 1

Combine like terms: 0 + 1 = 1
ex = 1

Divide each side by 'x'.
e = x-1

Simplifying
e = x-1
Solution
e = {0, x-1}