46k^2+33k=0

Solution for 46k^2+33k=0 equation:

Simplifying
46k2 + 33k = 0

Reorder the terms:
33k + 46k2 = 0

Solving
33k + 46k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), 'k'.
k(33 + 46k) = 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 '(33 + 46k)' equal to zero and attempt to solve:

Simplifying
33 + 46k = 0

Solving
33 + 46k = 0

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

Add '-33' to each side of the equation.
33 + -33 + 46k = 0 + -33

Combine like terms: 33 + -33 = 0
0 + 46k = 0 + -33
46k = 0 + -33

Combine like terms: 0 + -33 = -33
46k = -33

Divide each side by '46'.
k = -0.7173913043

Simplifying
k = -0.7173913043
Solution
k = {0, -0.7173913043}