e^2-11e-60=0

Solution for e^2-11e-60=0 equation:

Simplifying
e2 + -11e + -60 = 0

Reorder the terms:
-60 + -11e + e2 = 0

Solving
-60 + -11e + e2 = 0

Solving for variable 'e'.

Factor a trinomial.
(-4 + -1e)(15 + -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 '(15 + -1e)' equal to zero and attempt to solve:

Simplifying
15 + -1e = 0

Solving
15 + -1e = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1e = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1e = 0 + -15
-1e = 0 + -15

Combine like terms: 0 + -15 = -15
-1e = -15

Divide each side by '-1'.
e = 15

Simplifying
e = 15
Solution
e = {-4, 15}