6q(6q+8)=

Solution for 6q(6q+8)= equation:

Simplifying
6q(6q + 8) = 0

Reorder the terms:
6q(8 + 6q) = 0
(8 * 6q + 6q * 6q) = 0
(48q + 36q2) = 0

Solving
48q + 36q2 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), '12q'.
12q(4 + 3q) = 0

Ignore the factor 12.
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 '(4 + 3q)' equal to zero and attempt to solve:

Simplifying
4 + 3q = 0

Solving
4 + 3q = 0

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

Add '-4' to each side of the equation.
4 + -4 + 3q = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3q = 0 + -4
3q = 0 + -4

Combine like terms: 0 + -4 = -4
3q = -4

Divide each side by '3'.
q = -1.333333333

Simplifying
q = -1.333333333
Solution
q = {0, -1.333333333}