6e(10e-1)=

Solution for 6e(10e-1)= equation:

Simplifying
6e(10e + -1) = 0

Reorder the terms:
6e(-1 + 10e) = 0
(-1 * 6e + 10e * 6e) = 0
(-6e + 60e2) = 0

Solving
-6e + 60e2 = 0

Solving for variable 'e'.

Factor out the Greatest Common Factor (GCF), '6e'.
6e(-1 + 10e) = 0

Ignore the factor 6.
Subproblem 1
Set the factor 'e' equal to zero and attempt to solve:

Simplifying
e = 0

Solving
e = 0

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

Simplifying
e = 0
Subproblem 2
Set the factor '(-1 + 10e)' equal to zero and attempt to solve:

Simplifying
-1 + 10e = 0

Solving
-1 + 10e = 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 + 10e = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 10e = 0 + 1
10e = 0 + 1

Combine like terms: 0 + 1 = 1
10e = 1

Divide each side by '10'.
e = 0.1

Simplifying
e = 0.1
Solution
e = {0, 0.1}