2q^2+6q=0

Solution for 2q^2+6q=0 equation:

Simplifying
2q2 + 6q = 0

Reorder the terms:
6q + 2q2 = 0

Solving
6q + 2q2 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), '2q'.
2q(3 + 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 '(3 + q)' equal to zero and attempt to solve:

Simplifying
3 + q = 0

Solving
3 + q = 0

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

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

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

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

Simplifying
q = -3
Solution
q = {0, -3}