6e(e+5)=0

Solution for 6e(e+5)=0 equation:

Simplifying
6e(e + 5) = 0

Reorder the terms:
6e(5 + e) = 0
(5 * 6e + e * 6e) = 0
(30e + 6e2) = 0

Solving
30e + 6e2 = 0

Solving for variable 'e'.

Factor out the Greatest Common Factor (GCF), '6e'.
6e(5 + e) = 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 '(5 + e)' equal to zero and attempt to solve:

Simplifying
5 + e = 0

Solving
5 + e = 0

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

Add '-5' to each side of the equation.
5 + -5 + e = 0 + -5

Combine like terms: 5 + -5 = 0
0 + e = 0 + -5
e = 0 + -5

Combine like terms: 0 + -5 = -5
e = -5

Simplifying
e = -5
Solution
e = {0, -5}