4q(4q+3)=0

Solution for 4q(4q+3)=0 equation:

Simplifying
4q(4q + 3) = 0

Reorder the terms:
4q(3 + 4q) = 0
(3 * 4q + 4q * 4q) = 0
(12q + 16q2) = 0

Solving
12q + 16q2 = 0

Solving for variable 'q'.

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

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

Simplifying
3 + 4q = 0

Solving
3 + 4q = 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 + 4q = 0 + -3

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

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

Divide each side by '4'.
q = -0.75

Simplifying
q = -0.75
Solution
q = {0, -0.75}