3h^2-26h+48=

Solution for 3h^2-26h+48= equation:

Simplifying
3h2 + -26h + 48 = 0

Reorder the terms:
48 + -26h + 3h2 = 0

Solving
48 + -26h + 3h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(8 + -3h)(6 + -1h) = 0

Subproblem 1
Set the factor '(8 + -3h)' equal to zero and attempt to solve:

Simplifying
8 + -3h = 0

Solving
8 + -3h = 0

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

Add '-8' to each side of the equation.
8 + -8 + -3h = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3h = 0 + -8
-3h = 0 + -8

Combine like terms: 0 + -8 = -8
-3h = -8

Divide each side by '-3'.
h = 2.666666667

Simplifying
h = 2.666666667
Subproblem 2
Set the factor '(6 + -1h)' equal to zero and attempt to solve:

Simplifying
6 + -1h = 0

Solving
6 + -1h = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1h = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1h = 0 + -6
-1h = 0 + -6

Combine like terms: 0 + -6 = -6
-1h = -6

Divide each side by '-1'.
h = 6

Simplifying
h = 6
Solution
h = {2.666666667, 6}