2h^2+7h+6=0

Solution for 2h^2+7h+6=0 equation:

Simplifying
2h2 + 7h + 6 = 0

Reorder the terms:
6 + 7h + 2h2 = 0

Solving
6 + 7h + 2h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(2 + h)(3 + 2h) = 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 '(3 + 2h)' equal to zero and attempt to solve:

Simplifying
3 + 2h = 0

Solving
3 + 2h = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2h = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2h = 0 + -3
2h = 0 + -3

Combine like terms: 0 + -3 = -3
2h = -3

Divide each side by '2'.
h = -1.5

Simplifying
h = -1.5
Solution
h = {-2, -1.5}