-4h^2-h+33=0

Solution for -4h^2-h+33=0 equation:

Simplifying
-4h2 + -1h + 33 = 0

Reorder the terms:
33 + -1h + -4h2 = 0

Solving
33 + -1h + -4h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(11 + -4h)(3 + h) = 0

Subproblem 1
Set the factor '(11 + -4h)' equal to zero and attempt to solve:

Simplifying
11 + -4h = 0

Solving
11 + -4h = 0

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

Add '-11' to each side of the equation.
11 + -11 + -4h = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -4h = 0 + -11
-4h = 0 + -11

Combine like terms: 0 + -11 = -11
-4h = -11

Divide each side by '-4'.
h = 2.75

Simplifying
h = 2.75
Subproblem 2
Set the factor '(3 + h)' equal to zero and attempt to solve:

Simplifying
3 + h = 0

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

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

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

Simplifying
h = -3
Solution
h = {2.75, -3}