h^2+9h+8=0

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

Simplifying
h2 + 9h + 8 = 0

Reorder the terms:
8 + 9h + h2 = 0

Solving
8 + 9h + h2 = 0

Solving for variable 'h'.

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

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

Simplifying
8 + h = 0

Solving
8 + h = 0

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

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

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

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

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

Simplifying
1 + h = 0

Solving
1 + h = 0

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

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

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

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

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