21k=32k^2

Solution for 21k=32k^2 equation:

Simplifying
21k = 32k2

Solving
21k = 32k2

Solving for variable 'k'.

Combine like terms: 32k2 + -32k2 = 0
21k + -32k2 = 0

Factor out the Greatest Common Factor (GCF), 'k'.
k(21 + -32k) = 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 '(21 + -32k)' equal to zero and attempt to solve:

Simplifying
21 + -32k = 0

Solving
21 + -32k = 0

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

Add '-21' to each side of the equation.
21 + -21 + -32k = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -32k = 0 + -21
-32k = 0 + -21

Combine like terms: 0 + -21 = -21
-32k = -21

Divide each side by '-32'.
k = 0.65625

Simplifying
k = 0.65625
Solution
k = {0, 0.65625}