e^2+7e+10=

Solution for e^2+7e+10= equation:

Simplifying
e2 + 7e + 10 = 0

Reorder the terms:
10 + 7e + e2 = 0

Solving
10 + 7e + e2 = 0

Solving for variable 'e'.

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

Subproblem 1
Set the factor '(5 + e)' equal to zero and attempt to solve:

Simplifying
5 + e = 0

Solving
5 + e = 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 + e = 0 + -5

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

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

Simplifying
e = -5
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 = {-5, -2}