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}