3h^2+44h-6279=0

Solution for 3h^2+44h-6279=0 equation:

Simplifying
3h2 + 44h + -6279 = 0

Reorder the terms:
-6279 + 44h + 3h2 = 0

Solving
-6279 + 44h + 3h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(-161 + -3h)(39 + -1h) = 0

Subproblem 1
Set the factor '(-161 + -3h)' equal to zero and attempt to solve:

Simplifying
-161 + -3h = 0

Solving
-161 + -3h = 0

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

Add '161' to each side of the equation.
-161 + 161 + -3h = 0 + 161

Combine like terms: -161 + 161 = 0
0 + -3h = 0 + 161
-3h = 0 + 161

Combine like terms: 0 + 161 = 161
-3h = 161

Divide each side by '-3'.
h = -53.66666667

Simplifying
h = -53.66666667
Subproblem 2
Set the factor '(39 + -1h)' equal to zero and attempt to solve:

Simplifying
39 + -1h = 0

Solving
39 + -1h = 0

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

Add '-39' to each side of the equation.
39 + -39 + -1h = 0 + -39

Combine like terms: 39 + -39 = 0
0 + -1h = 0 + -39
-1h = 0 + -39

Combine like terms: 0 + -39 = -39
-1h = -39

Divide each side by '-1'.
h = 39

Simplifying
h = 39
Solution
h = {-53.66666667, 39}