6(3q^2+2q^1)=0

Solution for 6(3q^2+2q^1)=0 equation:

Simplifying
6(3q2 + 2q) = 0

Reorder the terms:
6(2q + 3q2) = 0
(2q * 6 + 3q2 * 6) = 0
(12q + 18q2) = 0

Solving
12q + 18q2 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), '6q'.
6q(2 + 3q) = 0

Ignore the factor 6.
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 '(2 + 3q)' equal to zero and attempt to solve:

Simplifying
2 + 3q = 0

Solving
2 + 3q = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3q = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3q = 0 + -2
3q = 0 + -2

Combine like terms: 0 + -2 = -2
3q = -2

Divide each side by '3'.
q = -0.6666666667

Simplifying
q = -0.6666666667
Solution
q = {0, -0.6666666667}