3p(6q+1)=

Solution for 3p(6q+1)= equation:

Simplifying
3p(6q + 1) = 0

Reorder the terms:
3p(1 + 6q) = 0
(1 * 3p + 6q * 3p) = 0
(3p + 18pq) = 0

Solving
3p + 18pq = 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), '3p'.
3p(1 + 6q) = 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 '(1 + 6q)' equal to zero and attempt to solve:

Simplifying
1 + 6q = 0

Solving
1 + 6q = 0

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

Add '-1' to each side of the equation.
1 + -1 + 6q = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 6q = 0 + -1
6q = 0 + -1

Combine like terms: 0 + -1 = -1
6q = -1

Add '-6q' to each side of the equation.
6q + -6q = -1 + -6q

Combine like terms: 6q + -6q = 0
0 = -1 + -6q

Simplifying
0 = -1 + -6q

The solution to this equation could not be determined.

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