21h^2+10h+1=0

Solution for 21h^2+10h+1=0 equation:

Simplifying
21h2 + 10h + 1 = 0

Reorder the terms:
1 + 10h + 21h2 = 0

Solving
1 + 10h + 21h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(1 + 3h)(1 + 7h) = 0

Subproblem 1
Set the factor '(1 + 3h)' equal to zero and attempt to solve:

Simplifying
1 + 3h = 0

Solving
1 + 3h = 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 + 3h = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3h = 0 + -1
3h = 0 + -1

Combine like terms: 0 + -1 = -1
3h = -1

Divide each side by '3'.
h = -0.3333333333

Simplifying
h = -0.3333333333
Subproblem 2
Set the factor '(1 + 7h)' equal to zero and attempt to solve:

Simplifying
1 + 7h = 0

Solving
1 + 7h = 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 + 7h = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 7h = 0 + -1
7h = 0 + -1

Combine like terms: 0 + -1 = -1
7h = -1

Divide each side by '7'.
h = -0.1428571429

Simplifying
h = -0.1428571429
Solution
h = {-0.3333333333, -0.1428571429}