e^2-12e+27=0

Solution for e^2-12e+27=0 equation:

Simplifying
e2 + -12e + 27 = 0

Reorder the terms:
27 + -12e + e2 = 0

Solving
27 + -12e + e2 = 0

Solving for variable 'e'.

Factor a trinomial.
(3 + -1e)(9 + -1e) = 0

Subproblem 1
Set the factor '(3 + -1e)' equal to zero and attempt to solve:

Simplifying
3 + -1e = 0

Solving
3 + -1e = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1e = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1e = 0 + -3
-1e = 0 + -3

Combine like terms: 0 + -3 = -3
-1e = -3

Divide each side by '-1'.
e = 3

Simplifying
e = 3
Subproblem 2
Set the factor '(9 + -1e)' equal to zero and attempt to solve:

Simplifying
9 + -1e = 0

Solving
9 + -1e = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1e = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1e = 0 + -9
-1e = 0 + -9

Combine like terms: 0 + -9 = -9
-1e = -9

Divide each side by '-1'.
e = 9

Simplifying
e = 9
Solution
e = {3, 9}