8k^2-51k+18=0

Solution for 8k^2-51k+18=0 equation:

Simplifying
8k2 + -51k + 18 = 0

Reorder the terms:
18 + -51k + 8k2 = 0

Solving
18 + -51k + 8k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(3 + -8k)(6 + -1k) = 0

Subproblem 1
Set the factor '(3 + -8k)' equal to zero and attempt to solve:

Simplifying
3 + -8k = 0

Solving
3 + -8k = 0

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

Add '-3' to each side of the equation.
3 + -3 + -8k = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -8k = 0 + -3
-8k = 0 + -3

Combine like terms: 0 + -3 = -3
-8k = -3

Divide each side by '-8'.
k = 0.375

Simplifying
k = 0.375
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 = {0.375, 6}