h^2-8+3h+10=0

Solution for h^2-8+3h+10=0 equation:

Simplifying
h2 + -8 + 3h + 10 = 0

Reorder the terms:
-8 + 10 + 3h + h2 = 0

Combine like terms: -8 + 10 = 2
2 + 3h + h2 = 0

Solving
2 + 3h + h2 = 0

Solving for variable 'h'.

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

Subproblem 1
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
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 = {-2, -1}