4j(j-1)=0

Solution for 4j(j-1)=0 equation:

Simplifying
4j(j + -1) = 0

Reorder the terms:
4j(-1 + j) = 0
(-1 * 4j + j * 4j) = 0
(-4j + 4j2) = 0

Solving
-4j + 4j2 = 0

Solving for variable 'j'.

Factor out the Greatest Common Factor (GCF), '4j'.
4j(-1 + j) = 0

Ignore the factor 4.
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 '(-1 + j)' equal to zero and attempt to solve:

Simplifying
-1 + j = 0

Solving
-1 + j = 0

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

Add '1' to each side of the equation.
-1 + 1 + j = 0 + 1

Combine like terms: -1 + 1 = 0
0 + j = 0 + 1
j = 0 + 1

Combine like terms: 0 + 1 = 1
j = 1

Simplifying
j = 1
Solution
j = {0, 1}