6pq+2p=

Solution for 6pq+2p= equation:

Simplifying
6pq + 2p = 0

Reorder the terms:
2p + 6pq = 0

Solving
2p + 6pq = 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), '2p'.
2p(1 + 3q) = 0

Ignore the factor 2.
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 + 3q)' equal to zero and attempt to solve:

Simplifying
1 + 3q = 0

Solving
1 + 3q = 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 + 3q = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3q = 0 + -1
3q = 0 + -1

Combine like terms: 0 + -1 = -1
3q = -1

Add '-3q' to each side of the equation.
3q + -3q = -1 + -3q

Combine like terms: 3q + -3q = 0
0 = -1 + -3q

Simplifying
0 = -1 + -3q

The solution to this equation could not be determined.

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