13k^2-46k=0

Solution for 13k^2-46k=0 equation:

Simplifying
13k2 + -46k = 0

Reorder the terms:
-46k + 13k2 = 0

Solving
-46k + 13k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), 'k'.
k(-46 + 13k) = 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 '(-46 + 13k)' equal to zero and attempt to solve:

Simplifying
-46 + 13k = 0

Solving
-46 + 13k = 0

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

Add '46' to each side of the equation.
-46 + 46 + 13k = 0 + 46

Combine like terms: -46 + 46 = 0
0 + 13k = 0 + 46
13k = 0 + 46

Combine like terms: 0 + 46 = 46
13k = 46

Divide each side by '13'.
k = 3.538461538

Simplifying
k = 3.538461538
Solution
k = {0, 3.538461538}