h^2+22h+21=0

Solution for h^2+22h+21=0 equation:

Simplifying
h2 + 22h + 21 = 0

Reorder the terms:
21 + 22h + h2 = 0

Solving
21 + 22h + h2 = 0

Solving for variable 'h'.

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

Subproblem 1
Set the factor '(21 + h)' equal to zero and attempt to solve:

Simplifying
21 + h = 0

Solving
21 + h = 0

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

Add '-21' to each side of the equation.
21 + -21 + h = 0 + -21

Combine like terms: 21 + -21 = 0
0 + h = 0 + -21
h = 0 + -21

Combine like terms: 0 + -21 = -21
h = -21

Simplifying
h = -21
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 = {-21, -1}