3k^2-17k+14=0

Solution for 3k^2-17k+14=0 equation:

Simplifying
3k2 + -17k + 14 = 0

Reorder the terms:
14 + -17k + 3k2 = 0

Solving
14 + -17k + 3k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(1 + -1k)(14 + -3k) = 0

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

Simplifying
1 + -1k = 0

Solving
1 + -1k = 0

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

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

Combine like terms: 1 + -1 = 0
0 + -1k = 0 + -1
-1k = 0 + -1

Combine like terms: 0 + -1 = -1
-1k = -1

Divide each side by '-1'.
k = 1

Simplifying
k = 1
Subproblem 2
Set the factor '(14 + -3k)' equal to zero and attempt to solve:

Simplifying
14 + -3k = 0

Solving
14 + -3k = 0

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

Add '-14' to each side of the equation.
14 + -14 + -3k = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -3k = 0 + -14
-3k = 0 + -14

Combine like terms: 0 + -14 = -14
-3k = -14

Divide each side by '-3'.
k = 4.666666667

Simplifying
k = 4.666666667
Solution
k = {1, 4.666666667}