8p^2q+12p=

Solution for 8p^2q+12p= equation:

Simplifying
8p2q + 12p = 0

Reorder the terms:
12p + 8p2q = 0

Solving
12p + 8p2q = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '4p'.
4p(3 + 2pq) = 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 '(3 + 2pq)' equal to zero and attempt to solve:

Simplifying
3 + 2pq = 0

Solving
3 + 2pq = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2pq = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2pq = 0 + -3
2pq = 0 + -3

Combine like terms: 0 + -3 = -3
2pq = -3

Divide each side by '2q'.
p = -1.5q-1

Simplifying
p = -1.5q-1
Solution
p = {0, -1.5q-1}