3k^2+5k=0

Solution for 3k^2+5k=0 equation:

Simplifying
3k2 + 5k = 0

Reorder the terms:
5k + 3k2 = 0

Solving
5k + 3k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), 'k'.
k(5 + 3k) = 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 '(5 + 3k)' equal to zero and attempt to solve:

Simplifying
5 + 3k = 0

Solving
5 + 3k = 0

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

Add '-5' to each side of the equation.
5 + -5 + 3k = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3k = 0 + -5
3k = 0 + -5

Combine like terms: 0 + -5 = -5
3k = -5

Divide each side by '3'.
k = -1.666666667

Simplifying
k = -1.666666667
Solution
k = {0, -1.666666667}