14h^2+29h+2=0

Solution for 14h^2+29h+2=0 equation:

Simplifying
14h2 + 29h + 2 = 0

Reorder the terms:
2 + 29h + 14h2 = 0

Solving
2 + 29h + 14h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(2 + h)(1 + 14h) = 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 + 14h)' equal to zero and attempt to solve:

Simplifying
1 + 14h = 0

Solving
1 + 14h = 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 + 14h = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 14h = 0 + -1
14h = 0 + -1

Combine like terms: 0 + -1 = -1
14h = -1

Divide each side by '14'.
h = -0.07142857143

Simplifying
h = -0.07142857143
Solution
h = {-2, -0.07142857143}