f^2+9f+8=0

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

Simplifying
f2 + 9f + 8 = 0

Reorder the terms:
8 + 9f + f2 = 0

Solving
8 + 9f + f2 = 0

Solving for variable 'f'.

Factor a trinomial.
(8 + f)(1 + f) = 0

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

Simplifying
8 + f = 0

Solving
8 + f = 0

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

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

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

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

Simplifying
f = -8
Subproblem 2
Set the factor '(1 + f)' equal to zero and attempt to solve:

Simplifying
1 + f = 0

Solving
1 + f = 0

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

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

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

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

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