j(j+2)=0

Solution for j(j+2)=0 equation:

Simplifying
j(j + 2) = 0

Reorder the terms:
j(2 + j) = 0
(2 * j + j * j) = 0
(2j + j2) = 0

Solving
2j + j2 = 0

Solving for variable 'j'.

Factor out the Greatest Common Factor (GCF), 'j'.
j(2 + j) = 0

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 '(2 + j)' equal to zero and attempt to solve:

Simplifying
2 + j = 0

Solving
2 + j = 0

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

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

Combine like terms: 2 + -2 = 0
0 + j = 0 + -2
j = 0 + -2

Combine like terms: 0 + -2 = -2
j = -2

Simplifying
j = -2
Solution
j = {0, -2}