9k^2+49k=0

Solution for 9k^2+49k=0 equation:

Simplifying
9k2 + 49k = 0

Reorder the terms:
49k + 9k2 = 0

Solving
49k + 9k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), 'k'.
k(49 + 9k) = 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 '(49 + 9k)' equal to zero and attempt to solve:

Simplifying
49 + 9k = 0

Solving
49 + 9k = 0

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

Add '-49' to each side of the equation.
49 + -49 + 9k = 0 + -49

Combine like terms: 49 + -49 = 0
0 + 9k = 0 + -49
9k = 0 + -49

Combine like terms: 0 + -49 = -49
9k = -49

Divide each side by '9'.
k = -5.444444444

Simplifying
k = -5.444444444
Solution
k = {0, -5.444444444}