e^2+9e+8=0

Solution for e^2+9e+8=0 equation:

Simplifying
e2 + 9e + 8 = 0

Reorder the terms:
8 + 9e + e2 = 0

Solving
8 + 9e + e2 = 0

Solving for variable 'e'.

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

Simplifying
1 + e = 0

Solving
1 + e = 0

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

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

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

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

Simplifying
e = -1
Solution
e = {-8, -1}