7u^2-17u+6=0

Solution for 7u^2-17u+6=0 equation:

Simplifying
7u2 + -17u + 6 = 0

Reorder the terms:
6 + -17u + 7u2 = 0

Solving
6 + -17u + 7u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(3 + -7u)(2 + -1u) = 0

Subproblem 1
Set the factor '(3 + -7u)' equal to zero and attempt to solve:

Simplifying
3 + -7u = 0

Solving
3 + -7u = 0

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

Add '-3' to each side of the equation.
3 + -3 + -7u = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -7u = 0 + -3
-7u = 0 + -3

Combine like terms: 0 + -3 = -3
-7u = -3

Divide each side by '-7'.
u = 0.4285714286

Simplifying
u = 0.4285714286
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 = {0.4285714286, 2}