9k^2+45k=0

Solution for 9k^2+45k=0 equation:

Simplifying
9k2 + 45k = 0

Reorder the terms:
45k + 9k2 = 0

Solving
45k + 9k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '9k'.
9k(5 + k) = 0

Ignore the factor 9.
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 '(5 + k)' equal to zero and attempt to solve:

Simplifying
5 + k = 0

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

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

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

Simplifying
k = -5
Solution
k = {0, -5}