6u^2-41u+44=0

Solution for 6u^2-41u+44=0 equation:

Simplifying
6u2 + -41u + 44 = 0

Reorder the terms:
44 + -41u + 6u2 = 0

Solving
44 + -41u + 6u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(4 + -3u)(11 + -2u) = 0

Subproblem 1
Set the factor '(4 + -3u)' equal to zero and attempt to solve:

Simplifying
4 + -3u = 0

Solving
4 + -3u = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3u = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3u = 0 + -4
-3u = 0 + -4

Combine like terms: 0 + -4 = -4
-3u = -4

Divide each side by '-3'.
u = 1.333333333

Simplifying
u = 1.333333333
Subproblem 2
Set the factor '(11 + -2u)' equal to zero and attempt to solve:

Simplifying
11 + -2u = 0

Solving
11 + -2u = 0

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

Add '-11' to each side of the equation.
11 + -11 + -2u = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -2u = 0 + -11
-2u = 0 + -11

Combine like terms: 0 + -11 = -11
-2u = -11

Divide each side by '-2'.
u = 5.5

Simplifying
u = 5.5
Solution
u = {1.333333333, 5.5}