9h+h^2+14=0

Solution for 9h+h^2+14=0 equation:

Simplifying
9h + h2 + 14 = 0

Reorder the terms:
14 + 9h + h2 = 0

Solving
14 + 9h + h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(7 + h)(2 + h) = 0

Subproblem 1
Set the factor '(7 + h)' equal to zero and attempt to solve:

Simplifying
7 + h = 0

Solving
7 + h = 0

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

Add '-7' to each side of the equation.
7 + -7 + h = 0 + -7

Combine like terms: 7 + -7 = 0
0 + h = 0 + -7
h = 0 + -7

Combine like terms: 0 + -7 = -7
h = -7

Simplifying
h = -7
Subproblem 2
Set the factor '(2 + h)' equal to zero and attempt to solve:

Simplifying
2 + h = 0

Solving
2 + h = 0

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

Add '-2' to each side of the equation.
2 + -2 + h = 0 + -2

Combine like terms: 2 + -2 = 0
0 + h = 0 + -2
h = 0 + -2

Combine like terms: 0 + -2 = -2
h = -2

Simplifying
h = -2
Solution
h = {-7, -2}