h^2+17h+16=0

Solution for h^2+17h+16=0 equation:

Simplifying
h2 + 17h + 16 = 0

Reorder the terms:
16 + 17h + h2 = 0

Solving
16 + 17h + h2 = 0

Solving for variable 'h'.

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

Subproblem 1
Set the factor '(16 + h)' equal to zero and attempt to solve:

Simplifying
16 + h = 0

Solving
16 + h = 0

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

Add '-16' to each side of the equation.
16 + -16 + h = 0 + -16

Combine like terms: 16 + -16 = 0
0 + h = 0 + -16
h = 0 + -16

Combine like terms: 0 + -16 = -16
h = -16

Simplifying
h = -16
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 = {-16, -1}