2q(q-6)=0

Solution for 2q(q-6)=0 equation:

Simplifying
2q(q + -6) = 0

Reorder the terms:
2q(-6 + q) = 0
(-6 * 2q + q * 2q) = 0
(-12q + 2q2) = 0

Solving
-12q + 2q2 = 0

Solving for variable 'q'.

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

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

Simplifying
-6 + q = 0

Solving
-6 + q = 0

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

Add '6' to each side of the equation.
-6 + 6 + q = 0 + 6

Combine like terms: -6 + 6 = 0
0 + q = 0 + 6
q = 0 + 6

Combine like terms: 0 + 6 = 6
q = 6

Simplifying
q = 6
Solution
q = {0, 6}