3h^2-32h-11=0

Solution for 3h^2-32h-11=0 equation:

Simplifying
3h2 + -32h + -11 = 0

Reorder the terms:
-11 + -32h + 3h2 = 0

Solving
-11 + -32h + 3h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(-1 + -3h)(11 + -1h) = 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 '(11 + -1h)' equal to zero and attempt to solve:

Simplifying
11 + -1h = 0

Solving
11 + -1h = 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 + -1h = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1h = 0 + -11
-1h = 0 + -11

Combine like terms: 0 + -11 = -11
-1h = -11

Divide each side by '-1'.
h = 11

Simplifying
h = 11
Solution
h = {-0.3333333333, 11}