8k(8k+3)=0

Solution for 8k(8k+3)=0 equation:

Simplifying
8k(8k + 3) = 0

Reorder the terms:
8k(3 + 8k) = 0
(3 * 8k + 8k * 8k) = 0
(24k + 64k2) = 0

Solving
24k + 64k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '8k'.
8k(3 + 8k) = 0

Ignore the factor 8.
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 '(3 + 8k)' equal to zero and attempt to solve:

Simplifying
3 + 8k = 0

Solving
3 + 8k = 0

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

Add '-3' to each side of the equation.
3 + -3 + 8k = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 8k = 0 + -3
8k = 0 + -3

Combine like terms: 0 + -3 = -3
8k = -3

Divide each side by '8'.
k = -0.375

Simplifying
k = -0.375
Solution
k = {0, -0.375}