5p(3pq+6)=

Solution for 5p(3pq+6)= equation:

Simplifying
5p(3pq + 6) = 0

Reorder the terms:
5p(6 + 3pq) = 0
(6 * 5p + 3pq * 5p) = 0
(30p + 15p2q) = 0

Solving
30p + 15p2q = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '15p'.
15p(2 + pq) = 0

Ignore the factor 15.
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 + pq)' equal to zero and attempt to solve:

Simplifying
2 + pq = 0

Solving
2 + pq = 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 + pq = 0 + -2

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

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

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

Simplifying
p = -2q-1
Solution
p = {0, -2q-1}