49k^2+39k=0

Solution for 49k^2+39k=0 equation:

Simplifying
49k2 + 39k = 0

Reorder the terms:
39k + 49k2 = 0

Solving
39k + 49k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), 'k'.
k(39 + 49k) = 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 '(39 + 49k)' equal to zero and attempt to solve:

Simplifying
39 + 49k = 0

Solving
39 + 49k = 0

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

Add '-39' to each side of the equation.
39 + -39 + 49k = 0 + -39

Combine like terms: 39 + -39 = 0
0 + 49k = 0 + -39
49k = 0 + -39

Combine like terms: 0 + -39 = -39
49k = -39

Divide each side by '49'.
k = -0.7959183673

Simplifying
k = -0.7959183673
Solution
k = {0, -0.7959183673}