48k^2+37k=0

Solution for 48k^2+37k=0 equation:

Simplifying
48k2 + 37k = 0

Reorder the terms:
37k + 48k2 = 0

Solving
37k + 48k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), 'k'.
k(37 + 48k) = 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 '(37 + 48k)' equal to zero and attempt to solve:

Simplifying
37 + 48k = 0

Solving
37 + 48k = 0

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

Add '-37' to each side of the equation.
37 + -37 + 48k = 0 + -37

Combine like terms: 37 + -37 = 0
0 + 48k = 0 + -37
48k = 0 + -37

Combine like terms: 0 + -37 = -37
48k = -37

Divide each side by '48'.
k = -0.7708333333

Simplifying
k = -0.7708333333
Solution
k = {0, -0.7708333333}