36+e^2+12e=0

Solution for 36+e^2+12e=0 equation:

Simplifying
36 + e2 + 12e = 0

Reorder the terms:
36 + 12e + e2 = 0

Solving
36 + 12e + e2 = 0

Solving for variable 'e'.

Factor a trinomial.
(6 + e)(6 + e) = 0

Subproblem 1
Set the factor '(6 + e)' equal to zero and attempt to solve:

Simplifying
6 + e = 0

Solving
6 + e = 0

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

Add '-6' to each side of the equation.
6 + -6 + e = 0 + -6

Combine like terms: 6 + -6 = 0
0 + e = 0 + -6
e = 0 + -6

Combine like terms: 0 + -6 = -6
e = -6

Simplifying
e = -6
Subproblem 2
Set the factor '(6 + e)' equal to zero and attempt to solve:

Simplifying
6 + e = 0

Solving
6 + e = 0

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

Add '-6' to each side of the equation.
6 + -6 + e = 0 + -6

Combine like terms: 6 + -6 = 0
0 + e = 0 + -6
e = 0 + -6

Combine like terms: 0 + -6 = -6
e = -6

Simplifying
e = -6
Solution
e = {-6, -6}