27k^2-24k+5=0

Solution for 27k^2-24k+5=0 equation:

Simplifying
27k2 + -24k + 5 = 0

Reorder the terms:
5 + -24k + 27k2 = 0

Solving
5 + -24k + 27k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(1 + -3k)(5 + -9k) = 0

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

Simplifying
1 + -3k = 0

Solving
1 + -3k = 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 + -3k = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3k = 0 + -1
-3k = 0 + -1

Combine like terms: 0 + -1 = -1
-3k = -1

Divide each side by '-3'.
k = 0.3333333333

Simplifying
k = 0.3333333333
Subproblem 2
Set the factor '(5 + -9k)' equal to zero and attempt to solve:

Simplifying
5 + -9k = 0

Solving
5 + -9k = 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 + -9k = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -9k = 0 + -5
-9k = 0 + -5

Combine like terms: 0 + -5 = -5
-9k = -5

Divide each side by '-9'.
k = 0.5555555556

Simplifying
k = 0.5555555556
Solution
k = {0.3333333333, 0.5555555556}