h^2+11h+15=-3

Solution for h^2+11h+15=-3 equation:

Simplifying
h2 + 11h + 15 = -3

Reorder the terms:
15 + 11h + h2 = -3

Solving
15 + 11h + h2 = -3

Solving for variable 'h'.

Reorder the terms:
15 + 3 + 11h + h2 = -3 + 3

Combine like terms: 15 + 3 = 18
18 + 11h + h2 = -3 + 3

Combine like terms: -3 + 3 = 0
18 + 11h + h2 = 0

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

Subproblem 1
Set the factor '(9 + h)' equal to zero and attempt to solve:

Simplifying
9 + h = 0

Solving
9 + h = 0

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

Add '-9' to each side of the equation.
9 + -9 + h = 0 + -9

Combine like terms: 9 + -9 = 0
0 + h = 0 + -9
h = 0 + -9

Combine like terms: 0 + -9 = -9
h = -9

Simplifying
h = -9
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 = {-9, -2}