10k^2-61k+6=0

Solution for 10k^2-61k+6=0 equation:

Simplifying
10k2 + -61k + 6 = 0

Reorder the terms:
6 + -61k + 10k2 = 0

Solving
6 + -61k + 10k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(1 + -10k)(6 + -1k) = 0

Subproblem 1
Set the factor '(1 + -10k)' equal to zero and attempt to solve:

Simplifying
1 + -10k = 0

Solving
1 + -10k = 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 + -10k = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -10k = 0 + -1
-10k = 0 + -1

Combine like terms: 0 + -1 = -1
-10k = -1

Divide each side by '-10'.
k = 0.1

Simplifying
k = 0.1
Subproblem 2
Set the factor '(6 + -1k)' equal to zero and attempt to solve:

Simplifying
6 + -1k = 0

Solving
6 + -1k = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1k = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1k = 0 + -6
-1k = 0 + -6

Combine like terms: 0 + -6 = -6
-1k = -6

Divide each side by '-1'.
k = 6

Simplifying
k = 6
Solution
k = {0.1, 6}