e^2-8e+15=0

Solution for e^2-8e+15=0 equation:

Simplifying
e2 + -8e + 15 = 0

Reorder the terms:
15 + -8e + e2 = 0

Solving
15 + -8e + e2 = 0

Solving for variable 'e'.

Factor a trinomial.
(3 + -1e)(5 + -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 '(5 + -1e)' equal to zero and attempt to solve:

Simplifying
5 + -1e = 0

Solving
5 + -1e = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1e = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1e = 0 + -5
-1e = 0 + -5

Combine like terms: 0 + -5 = -5
-1e = -5

Divide each side by '-1'.
e = 5

Simplifying
e = 5
Solution
e = {3, 5}