4p(q+2)=

Solution for 4p(q+2)= equation:

Simplifying
4p(q + 2) = 0

Reorder the terms:
4p(2 + q) = 0
(2 * 4p + q * 4p) = 0
(8p + 4pq) = 0

Solving
8p + 4pq = 0

Solving for variable 'p'.

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

Factor out the Greatest Common Factor (GCF), '4p'.
4p(2 + q) = 0

Ignore the factor 4.
Subproblem 1
Set the factor 'p' equal to zero and attempt to solve:

Simplifying
p = 0

Solving
p = 0

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

Simplifying
p = 0
Subproblem 2
Set the factor '(2 + q)' equal to zero and attempt to solve:

Simplifying
2 + q = 0

Solving
2 + q = 0

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

Add '-2' to each side of the equation.
2 + -2 + q = 0 + -2

Combine like terms: 2 + -2 = 0
0 + q = 0 + -2
q = 0 + -2

Combine like terms: 0 + -2 = -2
q = -2

Add '-1q' to each side of the equation.
q + -1q = -2 + -1q

Combine like terms: q + -1q = 0
0 = -2 + -1q

Simplifying
0 = -2 + -1q

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
p = {0}