=e(s+t)

Solution for =e(s+t) equation:

Simplifying
0 = e(s + t)
0 = (s * e + t * e)
0 = (es + et)

Solving
0 = es + et

Solving for variable 'e'.

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

Add '-1es' to each side of the equation.
0 + -1es = es + -1es + et
Remove the zero:
-1es = es + -1es + et

Combine like terms: es + -1es = 0
-1es = 0 + et
-1es = et

Add '-1et' to each side of the equation.
-1es + -1et = et + -1et

Combine like terms: et + -1et = 0
-1es + -1et = 0

Factor out the Greatest Common Factor (GCF), '-1e'.
-1e(s + t) = 0

Ignore the factor -1.
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 '(s + t)' equal to zero and attempt to solve:

Simplifying
s + t = 0

Solving
s + t = 0

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

Add '-1s' to each side of the equation.
s + -1s + t = 0 + -1s

Combine like terms: s + -1s = 0
0 + t = 0 + -1s
t = 0 + -1s
Remove the zero:
t = -1s

Add '-1t' to each side of the equation.
t + -1t = -1s + -1t

Combine like terms: t + -1t = 0
0 = -1s + -1t

Simplifying
0 = -1s + -1t

The solution to this equation could not be determined.

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