6j(2j-1)=0

Solution for 6j(2j-1)=0 equation:

Simplifying
6j(2j + -1) = 0

Reorder the terms:
6j(-1 + 2j) = 0
(-1 * 6j + 2j * 6j) = 0
(-6j + 12j2) = 0

Solving
-6j + 12j2 = 0

Solving for variable 'j'.

Factor out the Greatest Common Factor (GCF), '6j'.
6j(-1 + 2j) = 0

Ignore the factor 6.
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 + 2j)' equal to zero and attempt to solve:

Simplifying
-1 + 2j = 0

Solving
-1 + 2j = 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 + 2j = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2j = 0 + 1
2j = 0 + 1

Combine like terms: 0 + 1 = 1
2j = 1

Divide each side by '2'.
j = 0.5

Simplifying
j = 0.5
Solution
j = {0, 0.5}