9k^2=4k

Solution for 9k^2=4k equation:

Simplifying
9k2 = 4k

Solving
9k2 = 4k

Solving for variable 'k'.

Reorder the terms:
-4k + 9k2 = 4k + -4k

Combine like terms: 4k + -4k = 0
-4k + 9k2 = 0

Factor out the Greatest Common Factor (GCF), 'k'.
k(-4 + 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 '(-4 + 9k)' equal to zero and attempt to solve:

Simplifying
-4 + 9k = 0

Solving
-4 + 9k = 0

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

Add '4' to each side of the equation.
-4 + 4 + 9k = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 9k = 0 + 4
9k = 0 + 4

Combine like terms: 0 + 4 = 4
9k = 4

Divide each side by '9'.
k = 0.4444444444

Simplifying
k = 0.4444444444
Solution
k = {0, 0.4444444444}