q(3q-1)=0

Solution for q(3q-1)=0 equation:

Simplifying
q(3q + -1) = 0

Reorder the terms:
q(-1 + 3q) = 0
(-1 * q + 3q * q) = 0
(-1q + 3q2) = 0

Solving
-1q + 3q2 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), 'q'.
q(-1 + 3q) = 0

Subproblem 1
Set the factor 'q' equal to zero and attempt to solve:

Simplifying
q = 0

Solving
q = 0

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

Simplifying
q = 0
Subproblem 2
Set the factor '(-1 + 3q)' equal to zero and attempt to solve:

Simplifying
-1 + 3q = 0

Solving
-1 + 3q = 0

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

Add '1' to each side of the equation.
-1 + 1 + 3q = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3q = 0 + 1
3q = 0 + 1

Combine like terms: 0 + 1 = 1
3q = 1

Divide each side by '3'.
q = 0.3333333333

Simplifying
q = 0.3333333333
Solution
q = {0, 0.3333333333}