e^2+22e+40=

Solution for e^2+22e+40= equation:

Simplifying
e2 + 22e + 40 = 0

Reorder the terms:
40 + 22e + e2 = 0

Solving
40 + 22e + e2 = 0

Solving for variable 'e'.

Factor a trinomial.
(20 + e)(2 + e) = 0

Subproblem 1
Set the factor '(20 + e)' equal to zero and attempt to solve:

Simplifying
20 + e = 0

Solving
20 + e = 0

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

Add '-20' to each side of the equation.
20 + -20 + e = 0 + -20

Combine like terms: 20 + -20 = 0
0 + e = 0 + -20
e = 0 + -20

Combine like terms: 0 + -20 = -20
e = -20

Simplifying
e = -20
Subproblem 2
Set the factor '(2 + e)' equal to zero and attempt to solve:

Simplifying
2 + e = 0

Solving
2 + e = 0

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

Add '-2' to each side of the equation.
2 + -2 + e = 0 + -2

Combine like terms: 2 + -2 = 0
0 + e = 0 + -2
e = 0 + -2

Combine like terms: 0 + -2 = -2
e = -2

Simplifying
e = -2
Solution
e = {-20, -2}