9k^3-28k^2+3k=0

Solution for 9k^3-28k^2+3k=0 equation:

Simplifying
9k3 + -28k2 + 3k = 0

Reorder the terms:
3k + -28k2 + 9k3 = 0

Solving
3k + -28k2 + 9k3 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), 'k'.
k(3 + -28k + 9k2) = 0

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

Subproblem 1
Set the factor 'k' equal to zero and attempt to solve:

Simplifying
k = 0

Solving
k = 0

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

Simplifying
k = 0
Subproblem 2
Set the factor '(1 + -9k)' equal to zero and attempt to solve:

Simplifying
1 + -9k = 0

Solving
1 + -9k = 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 + -9k = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -9k = 0 + -1
-9k = 0 + -1

Combine like terms: 0 + -1 = -1
-9k = -1

Divide each side by '-9'.
k = 0.1111111111

Simplifying
k = 0.1111111111
Subproblem 3
Set the factor '(3 + -1k)' equal to zero and attempt to solve:

Simplifying
3 + -1k = 0

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

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

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

Divide each side by '-1'.
k = 3

Simplifying
k = 3
Solution
k = {0, 0.1111111111, 3}