3p(pq+4)=

Solution for 3p(pq+4)= equation:

Simplifying
3p(pq + 4) = 0

Reorder the terms:
3p(4 + pq) = 0
(4 * 3p + pq * 3p) = 0
(12p + 3p2q) = 0

Solving
12p + 3p2q = 0

Solving for variable 'p'.

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

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

Simplifying
4 + pq = 0

Solving
4 + pq = 0

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

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

Combine like terms: 4 + -4 = 0
0 + pq = 0 + -4
pq = 0 + -4

Combine like terms: 0 + -4 = -4
pq = -4

Divide each side by 'q'.
p = -4q-1

Simplifying
p = -4q-1
Solution
p = {0, -4q-1}