5u^2-17u+14=0

Solution for 5u^2-17u+14=0 equation:

Simplifying
5u2 + -17u + 14 = 0

Reorder the terms:
14 + -17u + 5u2 = 0

Solving
14 + -17u + 5u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(7 + -5u)(2 + -1u) = 0

Subproblem 1
Set the factor '(7 + -5u)' equal to zero and attempt to solve:

Simplifying
7 + -5u = 0

Solving
7 + -5u = 0

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

Add '-7' to each side of the equation.
7 + -7 + -5u = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -5u = 0 + -7
-5u = 0 + -7

Combine like terms: 0 + -7 = -7
-5u = -7

Divide each side by '-5'.
u = 1.4

Simplifying
u = 1.4
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 = {1.4, 2}