5k(3k+2)=

Solution for 5k(3k+2)= equation:

Simplifying
5k(3k + 2) = 0

Reorder the terms:
5k(2 + 3k) = 0
(2 * 5k + 3k * 5k) = 0
(10k + 15k2) = 0

Solving
10k + 15k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '5k'.
5k(2 + 3k) = 0

Ignore the factor 5.
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 '(2 + 3k)' equal to zero and attempt to solve:

Simplifying
2 + 3k = 0

Solving
2 + 3k = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3k = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3k = 0 + -2
3k = 0 + -2

Combine like terms: 0 + -2 = -2
3k = -2

Divide each side by '3'.
k = -0.6666666667

Simplifying
k = -0.6666666667
Solution
k = {0, -0.6666666667}