14k^2=21k

Solution for 14k^2=21k equation:

Simplifying
14k2 = 21k

Solving
14k2 = 21k

Solving for variable 'k'.

Reorder the terms:
-21k + 14k2 = 21k + -21k

Combine like terms: 21k + -21k = 0
-21k + 14k2 = 0

Factor out the Greatest Common Factor (GCF), '7k'.
7k(-3 + 2k) = 0

Ignore the factor 7.
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 '(-3 + 2k)' equal to zero and attempt to solve:

Simplifying
-3 + 2k = 0

Solving
-3 + 2k = 0

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

Add '3' to each side of the equation.
-3 + 3 + 2k = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2k = 0 + 3
2k = 0 + 3

Combine like terms: 0 + 3 = 3
2k = 3

Divide each side by '2'.
k = 1.5

Simplifying
k = 1.5
Solution
k = {0, 1.5}