4q(4q+4)=

Solution for 4q(4q+4)= equation:

Simplifying
4q(4q + 4) = 0

Reorder the terms:
4q(4 + 4q) = 0
(4 * 4q + 4q * 4q) = 0
(16q + 16q2) = 0

Solving
16q + 16q2 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), '16q'.
16q(1 + q) = 0

Ignore the factor 16.
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 + q)' equal to zero and attempt to solve:

Simplifying
1 + q = 0

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

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

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

Simplifying
q = -1
Solution
q = {0, -1}