8j(2j+6)=

Solution for 8j(2j+6)= equation:

Simplifying
8j(2j + 6) = 0

Reorder the terms:
8j(6 + 2j) = 0
(6 * 8j + 2j * 8j) = 0
(48j + 16j2) = 0

Solving
48j + 16j2 = 0

Solving for variable 'j'.

Factor out the Greatest Common Factor (GCF), '16j'.
16j(3 + j) = 0

Ignore the factor 16.
Subproblem 1
Set the factor 'j' equal to zero and attempt to solve:

Simplifying
j = 0

Solving
j = 0

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

Simplifying
j = 0
Subproblem 2
Set the factor '(3 + j)' equal to zero and attempt to solve:

Simplifying
3 + j = 0

Solving
3 + j = 0

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

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

Combine like terms: 3 + -3 = 0
0 + j = 0 + -3
j = 0 + -3

Combine like terms: 0 + -3 = -3
j = -3

Simplifying
j = -3
Solution
j = {0, -3}