6u^2-13u+2=0

Solution for 6u^2-13u+2=0 equation:

Simplifying
6u2 + -13u + 2 = 0

Reorder the terms:
2 + -13u + 6u2 = 0

Solving
2 + -13u + 6u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(1 + -6u)(2 + -1u) = 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 '(2 + -1u)' equal to zero and attempt to solve:

Simplifying
2 + -1u = 0

Solving
2 + -1u = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1u = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1u = 0 + -2
-1u = 0 + -2

Combine like terms: 0 + -2 = -2
-1u = -2

Divide each side by '-1'.
u = 2

Simplifying
u = 2
Solution
u = {0.1666666667, 2}