e+ef+5ef=

Solution for e+ef+5ef= equation:

Simplifying
e + ef + 5ef = 0

Combine like terms: ef + 5ef = 6ef
e + 6ef = 0

Solving
e + 6ef = 0

Solving for variable 'e'.

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

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

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 + 6f)' equal to zero and attempt to solve:

Simplifying
1 + 6f = 0

Solving
1 + 6f = 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 + 6f = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 6f = 0 + -1
6f = 0 + -1

Combine like terms: 0 + -1 = -1
6f = -1

Add '-6f' to each side of the equation.
6f + -6f = -1 + -6f

Combine like terms: 6f + -6f = 0
0 = -1 + -6f

Simplifying
0 = -1 + -6f

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
e = {0}