9k^2+30k=

Solution for 9k^2+30k= equation:

Simplifying
9k2 + 30k = 0

Reorder the terms:
30k + 9k2 = 0

Solving
30k + 9k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '3k'.
3k(10 + 3k) = 0

Ignore the factor 3.
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 '(10 + 3k)' equal to zero and attempt to solve:

Simplifying
10 + 3k = 0

Solving
10 + 3k = 0

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

Add '-10' to each side of the equation.
10 + -10 + 3k = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 3k = 0 + -10
3k = 0 + -10

Combine like terms: 0 + -10 = -10
3k = -10

Divide each side by '3'.
k = -3.333333333

Simplifying
k = -3.333333333
Solution
k = {0, -3.333333333}