e^2+10e+16=

Solution for e^2+10e+16= equation:

Simplifying
e2 + 10e + 16 = 0

Reorder the terms:
16 + 10e + e2 = 0

Solving
16 + 10e + e2 = 0

Solving for variable 'e'.

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

Subproblem 1
Set the factor '(8 + e)' equal to zero and attempt to solve:

Simplifying
8 + e = 0

Solving
8 + e = 0

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

Add '-8' to each side of the equation.
8 + -8 + e = 0 + -8

Combine like terms: 8 + -8 = 0
0 + e = 0 + -8
e = 0 + -8

Combine like terms: 0 + -8 = -8
e = -8

Simplifying
e = -8
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 = {-8, -2}