-2h^2+11h+21=0

Solution for -2h^2+11h+21=0 equation:

Simplifying
-2h2 + 11h + 21 = 0

Reorder the terms:
21 + 11h + -2h2 = 0

Solving
21 + 11h + -2h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(7 + -1h)(3 + 2h) = 0

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

Simplifying
7 + -1h = 0

Solving
7 + -1h = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1h = 0 + -7

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

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

Divide each side by '-1'.
h = 7

Simplifying
h = 7
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 = {7, -1.5}