j(j+5)=0

Solution for j(j+5)=0 equation:

Simplifying
j(j + 5) = 0

Reorder the terms:
j(5 + j) = 0
(5 * j + j * j) = 0
(5j + j2) = 0

Solving
5j + j2 = 0

Solving for variable 'j'.

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

Simplifying
5 + j = 0

Solving
5 + j = 0

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

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

Combine like terms: 5 + -5 = 0
0 + j = 0 + -5
j = 0 + -5

Combine like terms: 0 + -5 = -5
j = -5

Simplifying
j = -5
Solution
j = {0, -5}