42k^2+36k=0

Solution for 42k^2+36k=0 equation:

Simplifying
42k2 + 36k = 0

Reorder the terms:
36k + 42k2 = 0

Solving
36k + 42k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '6k'.
6k(6 + 7k) = 0

Ignore the factor 6.
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 '(6 + 7k)' equal to zero and attempt to solve:

Simplifying
6 + 7k = 0

Solving
6 + 7k = 0

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

Add '-6' to each side of the equation.
6 + -6 + 7k = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 7k = 0 + -6
7k = 0 + -6

Combine like terms: 0 + -6 = -6
7k = -6

Divide each side by '7'.
k = -0.8571428571

Simplifying
k = -0.8571428571
Solution
k = {0, -0.8571428571}