3k^2-16k+20=0

Solution for 3k^2-16k+20=0 equation:

Simplifying
3k2 + -16k + 20 = 0

Reorder the terms:
20 + -16k + 3k2 = 0

Solving
20 + -16k + 3k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(2 + -1k)(10 + -3k) = 0

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

Simplifying
2 + -1k = 0

Solving
2 + -1k = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1k = 0 + -2

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

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

Divide each side by '-1'.
k = 2

Simplifying
k = 2
Subproblem 2
Set the factor '(10 + -3k)' equal to zero and attempt to solve:

Simplifying
10 + -3k = 0

Solving
10 + -3k = 0

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

Add '-10' to each side of the equation.
10 + -10 + -3k = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3k = 0 + -10
-3k = 0 + -10

Combine like terms: 0 + -10 = -10
-3k = -10

Divide each side by '-3'.
k = 3.333333333

Simplifying
k = 3.333333333
Solution
k = {2, 3.333333333}