2688k=672k^2

Solution for 2688k=672k^2 equation:

Simplifying
2688k = 672k2

Solving
2688k = 672k2

Solving for variable 'k'.

Combine like terms: 672k2 + -672k2 = 0
2688k + -672k2 = 0

Factor out the Greatest Common Factor (GCF), '672k'.
672k(4 + -1k) = 0

Ignore the factor 672.
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 + -1k)' equal to zero and attempt to solve:

Simplifying
4 + -1k = 0

Solving
4 + -1k = 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 + -1k = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1k = 0 + -4
-1k = 0 + -4

Combine like terms: 0 + -4 = -4
-1k = -4

Divide each side by '-1'.
k = 4

Simplifying
k = 4
Solution
k = {0, 4}