14u^2-11u+2=0

Solution for 14u^2-11u+2=0 equation:

Simplifying
14u2 + -11u + 2 = 0

Reorder the terms:
2 + -11u + 14u2 = 0

Solving
2 + -11u + 14u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(2 + -7u)(1 + -2u) = 0

Subproblem 1
Set the factor '(2 + -7u)' equal to zero and attempt to solve:

Simplifying
2 + -7u = 0

Solving
2 + -7u = 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 + -7u = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -7u = 0 + -2
-7u = 0 + -2

Combine like terms: 0 + -2 = -2
-7u = -2

Divide each side by '-7'.
u = 0.2857142857

Simplifying
u = 0.2857142857
Subproblem 2
Set the factor '(1 + -2u)' equal to zero and attempt to solve:

Simplifying
1 + -2u = 0

Solving
1 + -2u = 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 + -2u = 0 + -1

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

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

Divide each side by '-2'.
u = 0.5

Simplifying
u = 0.5
Solution
u = {0.2857142857, 0.5}