12u^2-104u+17=0

Solution for 12u^2-104u+17=0 equation:

Simplifying
12u2 + -104u + 17 = 0

Reorder the terms:
17 + -104u + 12u2 = 0

Solving
17 + -104u + 12u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(1 + -6u)(17 + -2u) = 0

Subproblem 1
Set the factor '(1 + -6u)' equal to zero and attempt to solve:

Simplifying
1 + -6u = 0

Solving
1 + -6u = 0

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

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

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

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

Divide each side by '-6'.
u = 0.1666666667

Simplifying
u = 0.1666666667
Subproblem 2
Set the factor '(17 + -2u)' equal to zero and attempt to solve:

Simplifying
17 + -2u = 0

Solving
17 + -2u = 0

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

Add '-17' to each side of the equation.
17 + -17 + -2u = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -2u = 0 + -17
-2u = 0 + -17

Combine like terms: 0 + -17 = -17
-2u = -17

Divide each side by '-2'.
u = 8.5

Simplifying
u = 8.5
Solution
u = {0.1666666667, 8.5}