12k^2-17k+5=0

Solution for 12k^2-17k+5=0 equation:

Simplifying
12k2 + -17k + 5 = 0

Reorder the terms:
5 + -17k + 12k2 = 0

Solving
5 + -17k + 12k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(5 + -12k)(1 + -1k) = 0

Subproblem 1
Set the factor '(5 + -12k)' equal to zero and attempt to solve:

Simplifying
5 + -12k = 0

Solving
5 + -12k = 0

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

Add '-5' to each side of the equation.
5 + -5 + -12k = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -12k = 0 + -5
-12k = 0 + -5

Combine like terms: 0 + -5 = -5
-12k = -5

Divide each side by '-12'.
k = 0.4166666667

Simplifying
k = 0.4166666667
Subproblem 2
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
Solution
k = {0.4166666667, 1}