20k=9k^2

Solution for 20k=9k^2 equation:

Simplifying
20k = 9k2

Solving
20k = 9k2

Solving for variable 'k'.

Combine like terms: 9k2 + -9k2 = 0
20k + -9k2 = 0

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}