-18k^3-48k^2+66k=

Solution for -18k^3-48k^2+66k= equation:

Simplifying
-18k3 + -48k2 + 66k = 0

Reorder the terms:
66k + -48k2 + -18k3 = 0

Solving
66k + -48k2 + -18k3 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '6k'.
6k(11 + -8k + -3k2) = 0

Factor a trinomial.
6k((1 + -1k)(11 + 3k)) = 0

Ignore the factor 6.
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 + -1k)' equal to zero and attempt to solve:

Simplifying
1 + -1k = 0

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

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

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

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

Simplifying
k = 1
Subproblem 3
Set the factor '(11 + 3k)' equal to zero and attempt to solve:

Simplifying
11 + 3k = 0

Solving
11 + 3k = 0

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

Add '-11' to each side of the equation.
11 + -11 + 3k = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 3k = 0 + -11
3k = 0 + -11

Combine like terms: 0 + -11 = -11
3k = -11

Divide each side by '3'.
k = -3.666666667

Simplifying
k = -3.666666667
Solution
k = {0, 1, -3.666666667}