k(9k-20)=0

Solution for k(9k-20)=0 equation:

Simplifying
k(9k + -20) = 0

Reorder the terms:
k(-20 + 9k) = 0
(-20 * k + 9k * k) = 0
(-20k + 9k2) = 0

Solving
-20k + 9k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), 'k'.
k(-20 + 9k) = 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 '(-20 + 9k)' equal to zero and attempt to solve:

Simplifying
-20 + 9k = 0

Solving
-20 + 9k = 0

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

Add '20' to each side of the equation.
-20 + 20 + 9k = 0 + 20

Combine like terms: -20 + 20 = 0
0 + 9k = 0 + 20
9k = 0 + 20

Combine like terms: 0 + 20 = 20
9k = 20

Divide each side by '9'.
k = 2.222222222

Simplifying
k = 2.222222222
Solution
k = {0, 2.222222222}