6q(q)+q=0

Solution for 6q(q)+q=0 equation:

Simplifying
6q(q) + q = 0

Multiply q * q
6q2 + q = 0

Reorder the terms:
q + 6q2 = 0

Solving
q + 6q2 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), 'q'.
q(1 + 6q) = 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 + 6q)' equal to zero and attempt to solve:

Simplifying
1 + 6q = 0

Solving
1 + 6q = 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 + 6q = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 6q = 0 + -1
6q = 0 + -1

Combine like terms: 0 + -1 = -1
6q = -1

Divide each side by '6'.
q = -0.1666666667

Simplifying
q = -0.1666666667
Solution
q = {0, -0.1666666667}