-4k^3+9k^2+9k=

Solution for -4k^3+9k^2+9k= equation:

Simplifying
-4k3 + 9k2 + 9k = 0

Reorder the terms:
9k + 9k2 + -4k3 = 0

Solving
9k + 9k2 + -4k3 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), 'k'.
k(9 + 9k + -4k2) = 0

Factor a trinomial.
k((3 + -1k)(3 + 4k)) = 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 '(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
Subproblem 3
Set the factor '(3 + 4k)' equal to zero and attempt to solve:

Simplifying
3 + 4k = 0

Solving
3 + 4k = 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 + 4k = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4k = 0 + -3
4k = 0 + -3

Combine like terms: 0 + -3 = -3
4k = -3

Divide each side by '4'.
k = -0.75

Simplifying
k = -0.75
Solution
k = {0, 3, -0.75}