e^2-13e+36=0

Solution for e^2-13e+36=0 equation:

Simplifying
e2 + -13e + 36 = 0

Reorder the terms:
36 + -13e + e2 = 0

Solving
36 + -13e + e2 = 0

Solving for variable 'e'.

Factor a trinomial.
(4 + -1e)(9 + -1e) = 0

Subproblem 1
Set the factor '(4 + -1e)' equal to zero and attempt to solve:

Simplifying
4 + -1e = 0

Solving
4 + -1e = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1e = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1e = 0 + -4
-1e = 0 + -4

Combine like terms: 0 + -4 = -4
-1e = -4

Divide each side by '-1'.
e = 4

Simplifying
e = 4
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 = {4, 9}