h^2+16h=-15

Solution for h^2+16h=-15 equation:

Simplifying
h2 + 16h = -15

Reorder the terms:
16h + h2 = -15

Solving
16h + h2 = -15

Solving for variable 'h'.

Reorder the terms:
15 + 16h + h2 = -15 + 15

Combine like terms: -15 + 15 = 0
15 + 16h + h2 = 0

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

Subproblem 1
Set the factor '(15 + h)' equal to zero and attempt to solve:

Simplifying
15 + h = 0

Solving
15 + h = 0

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

Add '-15' to each side of the equation.
15 + -15 + h = 0 + -15

Combine like terms: 15 + -15 = 0
0 + h = 0 + -15
h = 0 + -15

Combine like terms: 0 + -15 = -15
h = -15

Simplifying
h = -15
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 = {-15, -1}